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Finding the Fourth Proportional to 142,125.60, 213,149.40 and 53,372.40

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Solution

The fourth proportional to 142,125.60, 213,149.40 and 53,372.40 is: 80,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,125.60 : 213,149.40 = 53,372.40 : x
  2. Step 2: Convert to fraction form
    142,125.60/213,149.40 = 53,372.40/x
  3. Step 3: Cross multiply
    142,125.60x = 213,149.40 × 53,372.40
  4. Step 4: Simplify right side
    142,125.60x = 11,376,295,036.56
  5. Step 5: Solve for x
    x = 11,376,295,036.56/142,125.60
  6. Step 6: Final answer
    x = 80,043.95

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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.