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Finding the Fourth Proportional to 181,678.40, 272,978.40 and 161,403.20

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Solution

The fourth proportional to 181,678.40, 272,978.40 and 161,403.20 is: 242,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,678.40 : 272,978.40 = 161,403.20 : x
  2. Step 2: Convert to fraction form
    181,678.40/272,978.40 = 161,403.20/x
  3. Step 3: Cross multiply
    181,678.40x = 272,978.40 × 161,403.20
  4. Step 4: Simplify right side
    181,678.40x = 44,059,587,290.88
  5. Step 5: Solve for x
    x = 44,059,587,290.88/181,678.40
  6. Step 6: Final answer
    x = 242,514.17

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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.