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Finding the Fourth Proportional to 142,301.80, 213,171.90 and 72,231.40

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Solution

The fourth proportional to 142,301.80, 213,171.90 and 72,231.40 is: 108,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,301.80 : 213,171.90 = 72,231.40 : x
  2. Step 2: Convert to fraction form
    142,301.80/213,171.90 = 72,231.40/x
  3. Step 3: Cross multiply
    142,301.80x = 213,171.90 × 72,231.40
  4. Step 4: Simplify right side
    142,301.80x = 15,397,704,777.66
  5. Step 5: Solve for x
    x = 15,397,704,777.66/142,301.80
  6. Step 6: Final answer
    x = 108,204.57

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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.