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Finding the Fourth Proportional to 127,978.24, 191,967.30 and 68,732.40

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Solution

The fourth proportional to 127,978.24, 191,967.30 and 68,732.40 is: 103,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.24 : 191,967.30 = 68,732.40 : x
  2. Step 2: Convert to fraction form
    127,978.24/191,967.30 = 68,732.40/x
  3. Step 3: Cross multiply
    127,978.24x = 191,967.30 × 68,732.40
  4. Step 4: Simplify right side
    127,978.24x = 13,194,373,250.52
  5. Step 5: Solve for x
    x = 13,194,373,250.52/127,978.24
  6. Step 6: Final answer
    x = 103,098.57

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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.