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Finding the Fourth Proportional to 231,920.70, 347,621.85 and 98,778.30

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Solution

The fourth proportional to 231,920.70, 347,621.85 and 98,778.30 is: 148,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,920.70 : 347,621.85 = 98,778.30 : x
  2. Step 2: Convert to fraction form
    231,920.70/347,621.85 = 98,778.30/x
  3. Step 3: Cross multiply
    231,920.70x = 347,621.85 × 98,778.30
  4. Step 4: Simplify right side
    231,920.70x = 34,337,495,385.86
  5. Step 5: Solve for x
    x = 34,337,495,385.86/231,920.70
  6. Step 6: Final answer
    x = 148,057.05

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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.