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Finding the Fourth Proportional to 230,839.68, 346,242.22 and 81,081.28

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Solution

The fourth proportional to 230,839.68, 346,242.22 and 81,081.28 is: 121,615.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,839.68 : 346,242.22 = 81,081.28 : x
  2. Step 2: Convert to fraction form
    230,839.68/346,242.22 = 81,081.28/x
  3. Step 3: Cross multiply
    230,839.68x = 346,242.22 × 81,081.28
  4. Step 4: Simplify right side
    230,839.68x = 28,073,762,387.64
  5. Step 5: Solve for x
    x = 28,073,762,387.64/230,839.68
  6. Step 6: Final answer
    x = 121,615.84

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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.