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Finding the Fourth Proportional to 52,098.92, 78,151.98 and 20,934.20

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Solution

The fourth proportional to 52,098.92, 78,151.98 and 20,934.20 is: 31,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,098.92 : 78,151.98 = 20,934.20 : x
  2. Step 2: Convert to fraction form
    52,098.92/78,151.98 = 20,934.20/x
  3. Step 3: Cross multiply
    52,098.92x = 78,151.98 × 20,934.20
  4. Step 4: Simplify right side
    52,098.92x = 1,636,049,179.72
  5. Step 5: Solve for x
    x = 1,636,049,179.72/52,098.92
  6. Step 6: Final answer
    x = 31,402.75

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1.5x scale

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.