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Finding the Fourth Proportional to 136,180.80, 204,489.90 and 102,938.40

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Solution

The fourth proportional to 136,180.80, 204,489.90 and 102,938.40 is: 154,572.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,180.80 : 204,489.90 = 102,938.40 : x
  2. Step 2: Convert to fraction form
    136,180.80/204,489.90 = 102,938.40/x
  3. Step 3: Cross multiply
    136,180.80x = 204,489.90 × 102,938.40
  4. Step 4: Simplify right side
    136,180.80x = 21,049,863,122.16
  5. Step 5: Solve for x
    x = 21,049,863,122.16/136,180.80
  6. Step 6: Final answer
    x = 154,572.91

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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.