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Finding the Fourth Proportional to 140,737.96, 194,218.68 and 76,207.90

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Solution

The fourth proportional to 140,737.96, 194,218.68 and 76,207.90 is: 105,167.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,737.96 : 194,218.68 = 76,207.90 : x
  2. Step 2: Convert to fraction form
    140,737.96/194,218.68 = 76,207.90/x
  3. Step 3: Cross multiply
    140,737.96x = 194,218.68 × 76,207.90
  4. Step 4: Simplify right side
    140,737.96x = 14,800,997,743.57
  5. Step 5: Solve for x
    x = 14,800,997,743.57/140,737.96
  6. Step 6: Final answer
    x = 105,167.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.