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Finding the Fourth Proportional to 71,564.40, 98,758.98 and 39,732.48

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Solution

The fourth proportional to 71,564.40, 98,758.98 and 39,732.48 is: 54,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.40 : 98,758.98 = 39,732.48 : x
  2. Step 2: Convert to fraction form
    71,564.40/98,758.98 = 39,732.48/x
  3. Step 3: Cross multiply
    71,564.40x = 98,758.98 × 39,732.48
  4. Step 4: Simplify right side
    71,564.40x = 3,923,939,197.67
  5. Step 5: Solve for x
    x = 3,923,939,197.67/71,564.40
  6. Step 6: Final answer
    x = 54,830.88

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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.