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Finding the Fourth Proportional to 127,978.80, 191,881.80 and 68,017.20

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Solution

The fourth proportional to 127,978.80, 191,881.80 and 68,017.20 is: 101,979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.80 : 191,881.80 = 68,017.20 : x
  2. Step 2: Convert to fraction form
    127,978.80/191,881.80 = 68,017.20/x
  3. Step 3: Cross multiply
    127,978.80x = 191,881.80 × 68,017.20
  4. Step 4: Simplify right side
    127,978.80x = 13,051,262,766.96
  5. Step 5: Solve for x
    x = 13,051,262,766.96/127,978.80
  6. Step 6: Final answer
    x = 101,979.88

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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.