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Finding the Fourth Proportional to 229,151.57, 343,726.74 and 129,266.42

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Solution

The fourth proportional to 229,151.57, 343,726.74 and 129,266.42 is: 193,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,151.57 : 343,726.74 = 129,266.42 : x
  2. Step 2: Convert to fraction form
    229,151.57/343,726.74 = 129,266.42/x
  3. Step 3: Cross multiply
    229,151.57x = 343,726.74 × 129,266.42
  4. Step 4: Simplify right side
    229,151.57x = 44,432,323,419.44
  5. Step 5: Solve for x
    x = 44,432,323,419.44/229,151.57
  6. Step 6: Final answer
    x = 193,899.28

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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.