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Finding the Fourth Proportional to 142,012.70, 212,759.85 and 86,543.90

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Solution

The fourth proportional to 142,012.70, 212,759.85 and 86,543.90 is: 129,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,012.70 : 212,759.85 = 86,543.90 : x
  2. Step 2: Convert to fraction form
    142,012.70/212,759.85 = 86,543.90/x
  3. Step 3: Cross multiply
    142,012.70x = 212,759.85 × 86,543.90
  4. Step 4: Simplify right side
    142,012.70x = 18,413,067,182.42
  5. Step 5: Solve for x
    x = 18,413,067,182.42/142,012.70
  6. Step 6: Final answer
    x = 129,657.89

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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.