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Finding the Fourth Proportional to 120,965,201.20, 181,447,801.80 and 40,186,169.20

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Solution

The fourth proportional to 120,965,201.20, 181,447,801.80 and 40,186,169.20 is: 60,279,253.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,965,201.20 : 181,447,801.80 = 40,186,169.20 : x
  2. Step 2: Convert to fraction form
    120,965,201.20/181,447,801.80 = 40,186,169.20/x
  3. Step 3: Cross multiply
    120,965,201.20x = 181,447,801.80 × 40,186,169.20
  4. Step 4: Simplify right side
    120,965,201.20x = 7,291,692,064,102,866
  5. Step 5: Solve for x
    x = 7,291,692,064,102,866/120,965,201.20
  6. Step 6: Final answer
    x = 60,279,253.80

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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.