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Finding the Fourth Proportional to 142,123.64, 213,168.48 and 110,565.20

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Solution

The fourth proportional to 142,123.64, 213,168.48 and 110,565.20 is: 165,834.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,123.64 : 213,168.48 = 110,565.20 : x
  2. Step 2: Convert to fraction form
    142,123.64/213,168.48 = 110,565.20/x
  3. Step 3: Cross multiply
    142,123.64x = 213,168.48 × 110,565.20
  4. Step 4: Simplify right side
    142,123.64x = 23,569,015,624.90
  5. Step 5: Solve for x
    x = 23,569,015,624.90/142,123.64
  6. Step 6: Final answer
    x = 165,834.59

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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.