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Finding the Fourth Proportional to 142,575.80, 213,863.70 and 140,502.20

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Solution

The fourth proportional to 142,575.80, 213,863.70 and 140,502.20 is: 210,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,575.80 : 213,863.70 = 140,502.20 : x
  2. Step 2: Convert to fraction form
    142,575.80/213,863.70 = 140,502.20/x
  3. Step 3: Cross multiply
    142,575.80x = 213,863.70 × 140,502.20
  4. Step 4: Simplify right side
    142,575.80x = 30,048,320,350.14
  5. Step 5: Solve for x
    x = 30,048,320,350.14/142,575.80
  6. Step 6: Final answer
    x = 210,753.30

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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.