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Finding the Fourth Proportional to 142,123.97, 213,073.49 and 53,367.59

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Solution

The fourth proportional to 142,123.97, 213,073.49 and 53,367.59 is: 80,009.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.97 : 213,073.49 = 53,367.59 : x
  2. Step 2: Convert to fraction form
    142,123.97/213,073.49 = 53,367.59/x
  3. Step 3: Cross multiply
    142,123.97x = 213,073.49 × 53,367.59
  4. Step 4: Simplify right side
    142,123.97x = 11,371,217,321.98
  5. Step 5: Solve for x
    x = 11,371,217,321.98/142,123.97
  6. Step 6: Final answer
    x = 80,009.15

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1.5x scale

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.