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Finding the Fourth Proportional to 142,004.70, 212,747.85 and 86,535.90

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Solution

The fourth proportional to 142,004.70, 212,747.85 and 86,535.90 is: 129,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,004.70 : 212,747.85 = 86,535.90 : x
  2. Step 2: Convert to fraction form
    142,004.70/212,747.85 = 86,535.90/x
  3. Step 3: Cross multiply
    142,004.70x = 212,747.85 × 86,535.90
  4. Step 4: Simplify right side
    142,004.70x = 18,410,326,672.82
  5. Step 5: Solve for x
    x = 18,410,326,672.82/142,004.70
  6. Step 6: Final answer
    x = 129,645.90

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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.