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Finding the Fourth Proportional to 181,978,051.40, 272,967,077.10 and 120,756,048.20

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Solution

The fourth proportional to 181,978,051.40, 272,967,077.10 and 120,756,048.20 is: 181,134,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,978,051.40 : 272,967,077.10 = 120,756,048.20 : x
  2. Step 2: Convert to fraction form
    181,978,051.40/272,967,077.10 = 120,756,048.20/x
  3. Step 3: Cross multiply
    181,978,051.40x = 272,967,077.10 × 120,756,048.20
  4. Step 4: Simplify right side
    181,978,051.40x = 32,962,425,519,300,720
  5. Step 5: Solve for x
    x = 32,962,425,519,300,720/181,978,051.40
  6. Step 6: Final answer
    x = 181,134,072.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.