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Finding the Fourth Proportional to 127,978.30, 191,722.65 and 68,794.30

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Solution

The fourth proportional to 127,978.30, 191,722.65 and 68,794.30 is: 103,059.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.30 : 191,722.65 = 68,794.30 : x
  2. Step 2: Convert to fraction form
    127,978.30/191,722.65 = 68,794.30/x
  3. Step 3: Cross multiply
    127,978.30x = 191,722.65 × 68,794.30
  4. Step 4: Simplify right side
    127,978.30x = 13,189,425,500.90
  5. Step 5: Solve for x
    x = 13,189,425,500.90/127,978.30
  6. Step 6: Final answer
    x = 103,059.86

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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.