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Finding the Fourth Proportional to 142,687.42, 214,031.20 and 36,071.70

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Solution

The fourth proportional to 142,687.42, 214,031.20 and 36,071.70 is: 54,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,687.42 : 214,031.20 = 36,071.70 : x
  2. Step 2: Convert to fraction form
    142,687.42/214,031.20 = 36,071.70/x
  3. Step 3: Cross multiply
    142,687.42x = 214,031.20 × 36,071.70
  4. Step 4: Simplify right side
    142,687.42x = 7,720,469,237.04
  5. Step 5: Solve for x
    x = 7,720,469,237.04/142,687.42
  6. Step 6: Final answer
    x = 54,107.57

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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.