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Finding the Fourth Proportional to 127,397.54, 191,119.30 and 52,476.78

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Solution

The fourth proportional to 127,397.54, 191,119.30 and 52,476.78 is: 78,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,397.54 : 191,119.30 = 52,476.78 : x
  2. Step 2: Convert to fraction form
    127,397.54/191,119.30 = 52,476.78/x
  3. Step 3: Cross multiply
    127,397.54x = 191,119.30 × 52,476.78
  4. Step 4: Simplify right side
    127,397.54x = 10,029,325,459.85
  5. Step 5: Solve for x
    x = 10,029,325,459.85/127,397.54
  6. Step 6: Final answer
    x = 78,724.64

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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.