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Finding the Fourth Proportional to 127,971.20, 191,956.80 and 101,244.80

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Solution

The fourth proportional to 127,971.20, 191,956.80 and 101,244.80 is: 151,867.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,971.20 : 191,956.80 = 101,244.80 : x
  2. Step 2: Convert to fraction form
    127,971.20/191,956.80 = 101,244.80/x
  3. Step 3: Cross multiply
    127,971.20x = 191,956.80 × 101,244.80
  4. Step 4: Simplify right side
    127,971.20x = 19,434,627,824.64
  5. Step 5: Solve for x
    x = 19,434,627,824.64/127,971.20
  6. Step 6: Final answer
    x = 151,867.20

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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.