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Finding the Fourth Proportional to 71,514, 98,689.32 and 39,688.02

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Solution

The fourth proportional to 71,514, 98,689.32 and 39,688.02 is: 54,769.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514 : 98,689.32 = 39,688.02 : x
  2. Step 2: Convert to fraction form
    71,514/98,689.32 = 39,688.02/x
  3. Step 3: Cross multiply
    71,514x = 98,689.32 × 39,688.02
  4. Step 4: Simplify right side
    71,514x = 3,916,783,705.95
  5. Step 5: Solve for x
    x = 3,916,783,705.95/71,514
  6. Step 6: Final answer
    x = 54,769.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.