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Finding the Fourth Proportional to 71,192.98, 106,789.47 and 18,602.52

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Solution

The fourth proportional to 71,192.98, 106,789.47 and 18,602.52 is: 27,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,192.98 : 106,789.47 = 18,602.52 : x
  2. Step 2: Convert to fraction form
    71,192.98/106,789.47 = 18,602.52/x
  3. Step 3: Cross multiply
    71,192.98x = 106,789.47 × 18,602.52
  4. Step 4: Simplify right side
    71,192.98x = 1,986,553,251.46
  5. Step 5: Solve for x
    x = 1,986,553,251.46/71,192.98
  6. Step 6: Final answer
    x = 27,903.78

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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.