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Finding the Fourth Proportional to 52,715.52, 78,878.52 and 31,668.30

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Solution

The fourth proportional to 52,715.52, 78,878.52 and 31,668.30 is: 47,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,715.52 : 78,878.52 = 31,668.30 : x
  2. Step 2: Convert to fraction form
    52,715.52/78,878.52 = 31,668.30/x
  3. Step 3: Cross multiply
    52,715.52x = 78,878.52 × 31,668.30
  4. Step 4: Simplify right side
    52,715.52x = 2,497,948,634.92
  5. Step 5: Solve for x
    x = 2,497,948,634.92/52,715.52
  6. Step 6: Final answer
    x = 47,385.45

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Why These Related Problems?

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