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Finding the Fourth Proportional to 142,229.76, 213,390.72 and 68,363.52

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Solution

The fourth proportional to 142,229.76, 213,390.72 and 68,363.52 is: 102,567.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,229.76 : 213,390.72 = 68,363.52 : x
  2. Step 2: Convert to fraction form
    142,229.76/213,390.72 = 68,363.52/x
  3. Step 3: Cross multiply
    142,229.76x = 213,390.72 × 68,363.52
  4. Step 4: Simplify right side
    142,229.76x = 14,588,140,754.53
  5. Step 5: Solve for x
    x = 14,588,140,754.53/142,229.76
  6. Step 6: Final answer
    x = 102,567.43

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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.