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Finding the Fourth Proportional to 140,432.64, 210,702.17 and 84,311.94

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Solution

The fourth proportional to 140,432.64, 210,702.17 and 84,311.94 is: 126,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,432.64 : 210,702.17 = 84,311.94 : x
  2. Step 2: Convert to fraction form
    140,432.64/210,702.17 = 84,311.94/x
  3. Step 3: Cross multiply
    140,432.64x = 210,702.17 × 84,311.94
  4. Step 4: Simplify right side
    140,432.64x = 17,764,708,293.35
  5. Step 5: Solve for x
    x = 17,764,708,293.35/140,432.64
  6. Step 6: Final answer
    x = 126,499.85

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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.