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Finding the Fourth Proportional to 120,909.61, 166,803.50 and 75,508.77

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Solution

The fourth proportional to 120,909.61, 166,803.50 and 75,508.77 is: 104,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,909.61 : 166,803.50 = 75,508.77 : x
  2. Step 2: Convert to fraction form
    120,909.61/166,803.50 = 75,508.77/x
  3. Step 3: Cross multiply
    120,909.61x = 166,803.50 × 75,508.77
  4. Step 4: Simplify right side
    120,909.61x = 12,595,127,305.47
  5. Step 5: Solve for x
    x = 12,595,127,305.47/120,909.61
  6. Step 6: Final answer
    x = 104,169.78

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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.