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Finding the Fourth Proportional to 82,068.59, 123,113.63 and 32,142.20

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Solution

The fourth proportional to 82,068.59, 123,113.63 and 32,142.20 is: 48,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068.59 : 123,113.63 = 32,142.20 : x
  2. Step 2: Convert to fraction form
    82,068.59/123,113.63 = 32,142.20/x
  3. Step 3: Cross multiply
    82,068.59x = 123,113.63 × 32,142.20
  4. Step 4: Simplify right side
    82,068.59x = 3,957,142,141.91
  5. Step 5: Solve for x
    x = 3,957,142,141.91/82,068.59
  6. Step 6: Final answer
    x = 48,217.50

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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.