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Finding the Fourth Proportional to 231,516, 319,492.08 and 125,532

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Solution

The fourth proportional to 231,516, 319,492.08 and 125,532 is: 173,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,516 : 319,492.08 = 125,532 : x
  2. Step 2: Convert to fraction form
    231,516/319,492.08 = 125,532/x
  3. Step 3: Cross multiply
    231,516x = 319,492.08 × 125,532
  4. Step 4: Simplify right side
    231,516x = 40,106,479,786.56
  5. Step 5: Solve for x
    x = 40,106,479,786.56/231,516
  6. Step 6: Final answer
    x = 173,234.16

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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.