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Finding the Fourth Proportional to 142,460.60, 213,721.12 and 53,711.96

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Solution

The fourth proportional to 142,460.60, 213,721.12 and 53,711.96 is: 80,579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,460.60 : 213,721.12 = 53,711.96 : x
  2. Step 2: Convert to fraction form
    142,460.60/213,721.12 = 53,711.96/x
  3. Step 3: Cross multiply
    142,460.60x = 213,721.12 × 53,711.96
  4. Step 4: Simplify right side
    142,460.60x = 11,479,380,248.60
  5. Step 5: Solve for x
    x = 11,479,380,248.60/142,460.60
  6. Step 6: Final answer
    x = 80,579.33

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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.