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Finding the Fourth Proportional to 127,200.70, 190,822.65 and 68,020.30

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Solution

The fourth proportional to 127,200.70, 190,822.65 and 68,020.30 is: 102,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,200.70 : 190,822.65 = 68,020.30 : x
  2. Step 2: Convert to fraction form
    127,200.70/190,822.65 = 68,020.30/x
  3. Step 3: Cross multiply
    127,200.70x = 190,822.65 × 68,020.30
  4. Step 4: Simplify right side
    127,200.70x = 12,979,813,899.80
  5. Step 5: Solve for x
    x = 12,979,813,899.80/127,200.70
  6. Step 6: Final answer
    x = 102,042.00

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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.