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Finding the Fourth Proportional to 127,841.55, 191,790 and 48,955.78

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Solution

The fourth proportional to 127,841.55, 191,790 and 48,955.78 is: 73,444.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,841.55 : 191,790 = 48,955.78 : x
  2. Step 2: Convert to fraction form
    127,841.55/191,790 = 48,955.78/x
  3. Step 3: Cross multiply
    127,841.55x = 191,790 × 48,955.78
  4. Step 4: Simplify right side
    127,841.55x = 9,389,229,046.20
  5. Step 5: Solve for x
    x = 9,389,229,046.20/127,841.55
  6. Step 6: Final answer
    x = 73,444.27

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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.