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Finding the Fourth Proportional to 102,882.52, 142,026.41 and 77,398.61

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Solution

The fourth proportional to 102,882.52, 142,026.41 and 77,398.61 is: 106,846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,882.52 : 142,026.41 = 77,398.61 : x
  2. Step 2: Convert to fraction form
    102,882.52/142,026.41 = 77,398.61/x
  3. Step 3: Cross multiply
    102,882.52x = 142,026.41 × 77,398.61
  4. Step 4: Simplify right side
    102,882.52x = 10,992,646,717.29
  5. Step 5: Solve for x
    x = 10,992,646,717.29/102,882.52
  6. Step 6: Final answer
    x = 106,846.59

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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.