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Finding the Fourth Proportional to 118,859.76, 178,119 and 71,494.20

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Solution

The fourth proportional to 118,859.76, 178,119 and 71,494.20 is: 107,138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,859.76 : 178,119 = 71,494.20 : x
  2. Step 2: Convert to fraction form
    118,859.76/178,119 = 71,494.20/x
  3. Step 3: Cross multiply
    118,859.76x = 178,119 × 71,494.20
  4. Step 4: Simplify right side
    118,859.76x = 12,734,475,409.80
  5. Step 5: Solve for x
    x = 12,734,475,409.80/118,859.76
  6. Step 6: Final answer
    x = 107,138.66

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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.