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Finding the Fourth Proportional to 127,023.84, 190,254.24 and 86,947.20

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Solution

The fourth proportional to 127,023.84, 190,254.24 and 86,947.20 is: 130,228.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,023.84 : 190,254.24 = 86,947.20 : x
  2. Step 2: Convert to fraction form
    127,023.84/190,254.24 = 86,947.20/x
  3. Step 3: Cross multiply
    127,023.84x = 190,254.24 × 86,947.20
  4. Step 4: Simplify right side
    127,023.84x = 16,542,073,456.13
  5. Step 5: Solve for x
    x = 16,542,073,456.13/127,023.84
  6. Step 6: Final answer
    x = 130,228.10

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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.