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Finding the Fourth Proportional to 136,543.78, 204,815.70 and 38,047.78

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Solution

The fourth proportional to 136,543.78, 204,815.70 and 38,047.78 is: 57,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,543.78 : 204,815.70 = 38,047.78 : x
  2. Step 2: Convert to fraction form
    136,543.78/204,815.70 = 38,047.78/x
  3. Step 3: Cross multiply
    136,543.78x = 204,815.70 × 38,047.78
  4. Step 4: Simplify right side
    136,543.78x = 7,792,782,694.15
  5. Step 5: Solve for x
    x = 7,792,782,694.15/136,543.78
  6. Step 6: Final answer
    x = 57,071.68

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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.