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Finding the Fourth Proportional to 127,231.30, 190,721.40 and 71,098.30

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Solution

The fourth proportional to 127,231.30, 190,721.40 and 71,098.30 is: 106,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,231.30 : 190,721.40 = 71,098.30 : x
  2. Step 2: Convert to fraction form
    127,231.30/190,721.40 = 71,098.30/x
  3. Step 3: Cross multiply
    127,231.30x = 190,721.40 × 71,098.30
  4. Step 4: Simplify right side
    127,231.30x = 13,559,967,313.62
  5. Step 5: Solve for x
    x = 13,559,967,313.62/127,231.30
  6. Step 6: Final answer
    x = 106,577.29

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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.