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Finding the Fourth Proportional to 151,751.80, 227,627.70 and 138,957.85

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Solution

The fourth proportional to 151,751.80, 227,627.70 and 138,957.85 is: 208,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,751.80 : 227,627.70 = 138,957.85 : x
  2. Step 2: Convert to fraction form
    151,751.80/227,627.70 = 138,957.85/x
  3. Step 3: Cross multiply
    151,751.80x = 227,627.70 × 138,957.85
  4. Step 4: Simplify right side
    151,751.80x = 31,630,655,792.45
  5. Step 5: Solve for x
    x = 31,630,655,792.45/151,751.80
  6. Step 6: Final answer
    x = 208,436.78

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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.