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Finding the Fourth Proportional to 82,402.50, 123,530.45 and 29,800.29

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Solution

The fourth proportional to 82,402.50, 123,530.45 and 29,800.29 is: 44,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,402.50 : 123,530.45 = 29,800.29 : x
  2. Step 2: Convert to fraction form
    82,402.50/123,530.45 = 29,800.29/x
  3. Step 3: Cross multiply
    82,402.50x = 123,530.45 × 29,800.29
  4. Step 4: Simplify right side
    82,402.50x = 3,681,243,084.83
  5. Step 5: Solve for x
    x = 3,681,243,084.83/82,402.50
  6. Step 6: Final answer
    x = 44,673.92

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