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Finding the Fourth Proportional to 120,999.72, 166,834.98 and 78,542.76

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Solution

The fourth proportional to 120,999.72, 166,834.98 and 78,542.76 is: 108,295.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,999.72 : 166,834.98 = 78,542.76 : x
  2. Step 2: Convert to fraction form
    120,999.72/166,834.98 = 78,542.76/x
  3. Step 3: Cross multiply
    120,999.72x = 166,834.98 × 78,542.76
  4. Step 4: Simplify right side
    120,999.72x = 13,103,679,793.74
  5. Step 5: Solve for x
    x = 13,103,679,793.74/120,999.72
  6. Step 6: Final answer
    x = 108,295.12

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1.5x scale

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.