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Finding the Fourth Proportional to 71,265.65, 98,345.21 and 39,434.78

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Solution

The fourth proportional to 71,265.65, 98,345.21 and 39,434.78 is: 54,419.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,265.65 : 98,345.21 = 39,434.78 : x
  2. Step 2: Convert to fraction form
    71,265.65/98,345.21 = 39,434.78/x
  3. Step 3: Cross multiply
    71,265.65x = 98,345.21 × 39,434.78
  4. Step 4: Simplify right side
    71,265.65x = 3,878,221,031.50
  5. Step 5: Solve for x
    x = 3,878,221,031.50/71,265.65
  6. Step 6: Final answer
    x = 54,419.22

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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.