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Finding the Fourth Proportional to 231,464, 319,422.24 and 125,480

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Solution

The fourth proportional to 231,464, 319,422.24 and 125,480 is: 173,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,464 : 319,422.24 = 125,480 : x
  2. Step 2: Convert to fraction form
    231,464/319,422.24 = 125,480/x
  3. Step 3: Cross multiply
    231,464x = 319,422.24 × 125,480
  4. Step 4: Simplify right side
    231,464x = 40,081,102,675.20
  5. Step 5: Solve for x
    x = 40,081,102,675.20/231,464
  6. Step 6: Final answer
    x = 173,163.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.