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Finding the Fourth Proportional to 136,176.40, 204,264.72 and 42,689.44

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Solution

The fourth proportional to 136,176.40, 204,264.72 and 42,689.44 is: 64,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,176.40 : 204,264.72 = 42,689.44 : x
  2. Step 2: Convert to fraction form
    136,176.40/204,264.72 = 42,689.44/x
  3. Step 3: Cross multiply
    136,176.40x = 204,264.72 × 42,689.44
  4. Step 4: Simplify right side
    136,176.40x = 8,719,946,508.56
  5. Step 5: Solve for x
    x = 8,719,946,508.56/136,176.40
  6. Step 6: Final answer
    x = 64,034.20

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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.