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Finding the Fourth Proportional to 127,224.30, 190,710.90 and 71,091.30

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Solution

The fourth proportional to 127,224.30, 190,710.90 and 71,091.30 is: 106,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,224.30 : 190,710.90 = 71,091.30 : x
  2. Step 2: Convert to fraction form
    127,224.30/190,710.90 = 71,091.30/x
  3. Step 3: Cross multiply
    127,224.30x = 190,710.90 × 71,091.30
  4. Step 4: Simplify right side
    127,224.30x = 13,557,885,805.17
  5. Step 5: Solve for x
    x = 13,557,885,805.17/127,224.30
  6. Step 6: Final answer
    x = 106,566.79

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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.