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Finding the Fourth Proportional to 106,601.76, 160,003.12 and 78,435.96

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Solution

The fourth proportional to 106,601.76, 160,003.12 and 78,435.96 is: 117,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,601.76 : 160,003.12 = 78,435.96 : x
  2. Step 2: Convert to fraction form
    106,601.76/160,003.12 = 78,435.96/x
  3. Step 3: Cross multiply
    106,601.76x = 160,003.12 × 78,435.96
  4. Step 4: Simplify right side
    106,601.76x = 12,549,998,320.20
  5. Step 5: Solve for x
    x = 12,549,998,320.20/106,601.76
  6. Step 6: Final answer
    x = 117,727.87

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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.