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Finding the Fourth Proportional to 107,758.86, 161,722.56 and 74,711.70

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Solution

The fourth proportional to 107,758.86, 161,722.56 and 74,711.70 is: 112,125.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,758.86 : 161,722.56 = 74,711.70 : x
  2. Step 2: Convert to fraction form
    107,758.86/161,722.56 = 74,711.70/x
  3. Step 3: Cross multiply
    107,758.86x = 161,722.56 × 74,711.70
  4. Step 4: Simplify right side
    107,758.86x = 12,082,567,385.95
  5. Step 5: Solve for x
    x = 12,082,567,385.95/107,758.86
  6. Step 6: Final answer
    x = 112,125.98

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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.