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Finding the Fourth Proportional to 187,139.98, 280,711.19 and 74,829.63

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Solution

The fourth proportional to 187,139.98, 280,711.19 and 74,829.63 is: 112,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,139.98 : 280,711.19 = 74,829.63 : x
  2. Step 2: Convert to fraction form
    187,139.98/280,711.19 = 74,829.63/x
  3. Step 3: Cross multiply
    187,139.98x = 280,711.19 × 74,829.63
  4. Step 4: Simplify right side
    187,139.98x = 21,005,514,484.56
  5. Step 5: Solve for x
    x = 21,005,514,484.56/187,139.98
  6. Step 6: Final answer
    x = 112,244.93

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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.