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Finding the Fourth Proportional to 127,400, 191,100.40 and 38,654.24

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Solution

The fourth proportional to 127,400, 191,100.40 and 38,654.24 is: 57,981.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,400 : 191,100.40 = 38,654.24 : x
  2. Step 2: Convert to fraction form
    127,400/191,100.40 = 38,654.24/x
  3. Step 3: Cross multiply
    127,400x = 191,100.40 × 38,654.24
  4. Step 4: Simplify right side
    127,400x = 7,386,840,725.70
  5. Step 5: Solve for x
    x = 7,386,840,725.70/127,400
  6. Step 6: Final answer
    x = 57,981.48

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1.5x scale

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.