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Finding the Fourth Proportional to 82,512, 123,569.28 and 52,837.92

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Solution

The fourth proportional to 82,512, 123,569.28 and 52,837.92 is: 79,129.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,512 : 123,569.28 = 52,837.92 : x
  2. Step 2: Convert to fraction form
    82,512/123,569.28 = 52,837.92/x
  3. Step 3: Cross multiply
    82,512x = 123,569.28 × 52,837.92
  4. Step 4: Simplify right side
    82,512x = 6,529,143,731.10
  5. Step 5: Solve for x
    x = 6,529,143,731.10/82,512
  6. Step 6: Final answer
    x = 79,129.63

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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.