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Finding the Fourth Proportional to 69,854.87, 96,397.04 and 39,638.40

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Solution

The fourth proportional to 69,854.87, 96,397.04 and 39,638.40 is: 54,699.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854.87 : 96,397.04 = 39,638.40 : x
  2. Step 2: Convert to fraction form
    69,854.87/96,397.04 = 39,638.40/x
  3. Step 3: Cross multiply
    69,854.87x = 96,397.04 × 39,638.40
  4. Step 4: Simplify right side
    69,854.87x = 3,821,024,167.94
  5. Step 5: Solve for x
    x = 3,821,024,167.94/69,854.87
  6. Step 6: Final answer
    x = 54,699.47

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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.