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Finding the Fourth Proportional to 127,851.20, 191,431.20 and 100,203.20

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Solution

The fourth proportional to 127,851.20, 191,431.20 and 100,203.20 is: 150,033.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,851.20 : 191,431.20 = 100,203.20 : x
  2. Step 2: Convert to fraction form
    127,851.20/191,431.20 = 100,203.20/x
  3. Step 3: Cross multiply
    127,851.20x = 191,431.20 × 100,203.20
  4. Step 4: Simplify right side
    127,851.20x = 19,182,018,819.84
  5. Step 5: Solve for x
    x = 19,182,018,819.84/127,851.20
  6. Step 6: Final answer
    x = 150,033.94

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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.