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Finding the Fourth Proportional to 78,191.19, 117,286.65 and 22,031.19

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Solution

The fourth proportional to 78,191.19, 117,286.65 and 22,031.19 is: 33,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,191.19 : 117,286.65 = 22,031.19 : x
  2. Step 2: Convert to fraction form
    78,191.19/117,286.65 = 22,031.19/x
  3. Step 3: Cross multiply
    78,191.19x = 117,286.65 × 22,031.19
  4. Step 4: Simplify right side
    78,191.19x = 2,583,964,470.61
  5. Step 5: Solve for x
    x = 2,583,964,470.61/78,191.19
  6. Step 6: Final answer
    x = 33,046.75

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1.5x scale

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.