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Finding the Fourth Proportional to 80,533.65, 120,761.55 and 29,897.76

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Solution

The fourth proportional to 80,533.65, 120,761.55 and 29,897.76 is: 44,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,533.65 : 120,761.55 = 29,897.76 : x
  2. Step 2: Convert to fraction form
    80,533.65/120,761.55 = 29,897.76/x
  3. Step 3: Cross multiply
    80,533.65x = 120,761.55 × 29,897.76
  4. Step 4: Simplify right side
    80,533.65x = 3,610,499,839.13
  5. Step 5: Solve for x
    x = 3,610,499,839.13/80,533.65
  6. Step 6: Final answer
    x = 44,832.19

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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.