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Finding the Fourth Proportional to 129,585, 193,938.60 and 79,696.74

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Solution

The fourth proportional to 129,585, 193,938.60 and 79,696.74 is: 119,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,585 : 193,938.60 = 79,696.74 : x
  2. Step 2: Convert to fraction form
    129,585/193,938.60 = 79,696.74/x
  3. Step 3: Cross multiply
    129,585x = 193,938.60 × 79,696.74
  4. Step 4: Simplify right side
    129,585x = 15,456,274,180.16
  5. Step 5: Solve for x
    x = 15,456,274,180.16/129,585
  6. Step 6: Final answer
    x = 119,275.18

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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.