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Finding the Fourth Proportional to 231,892.40, 347,888.56 and 71,965.20

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Solution

The fourth proportional to 231,892.40, 347,888.56 and 71,965.20 is: 107,963.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892.40 : 347,888.56 = 71,965.20 : x
  2. Step 2: Convert to fraction form
    231,892.40/347,888.56 = 71,965.20/x
  3. Step 3: Cross multiply
    231,892.40x = 347,888.56 × 71,965.20
  4. Step 4: Simplify right side
    231,892.40x = 25,035,869,798.11
  5. Step 5: Solve for x
    x = 25,035,869,798.11/231,892.40
  6. Step 6: Final answer
    x = 107,963.30

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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.