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Finding the Fourth Proportional to 127,343.80, 191,102.10 and 82,862.20

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Solution

The fourth proportional to 127,343.80, 191,102.10 and 82,862.20 is: 124,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,343.80 : 191,102.10 = 82,862.20 : x
  2. Step 2: Convert to fraction form
    127,343.80/191,102.10 = 82,862.20/x
  3. Step 3: Cross multiply
    127,343.80x = 191,102.10 × 82,862.20
  4. Step 4: Simplify right side
    127,343.80x = 15,835,140,430.62
  5. Step 5: Solve for x
    x = 15,835,140,430.62/127,343.80
  6. Step 6: Final answer
    x = 124,349.52

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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.