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Finding the Fourth Proportional to 52,689.92, 72,712.14 and 28,816.52

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Solution

The fourth proportional to 52,689.92, 72,712.14 and 28,816.52 is: 39,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,689.92 : 72,712.14 = 28,816.52 : x
  2. Step 2: Convert to fraction form
    52,689.92/72,712.14 = 28,816.52/x
  3. Step 3: Cross multiply
    52,689.92x = 72,712.14 × 28,816.52
  4. Step 4: Simplify right side
    52,689.92x = 2,095,310,836.55
  5. Step 5: Solve for x
    x = 2,095,310,836.55/52,689.92
  6. Step 6: Final answer
    x = 39,766.83

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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.