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Finding the Fourth Proportional to 142,439.52, 213,508.60 and 53,654.60

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Solution

The fourth proportional to 142,439.52, 213,508.60 and 53,654.60 is: 80,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,439.52 : 213,508.60 = 53,654.60 : x
  2. Step 2: Convert to fraction form
    142,439.52/213,508.60 = 53,654.60/x
  3. Step 3: Cross multiply
    142,439.52x = 213,508.60 × 53,654.60
  4. Step 4: Simplify right side
    142,439.52x = 11,455,718,529.56
  5. Step 5: Solve for x
    x = 11,455,718,529.56/142,439.52
  6. Step 6: Final answer
    x = 80,425.14

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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.