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Finding the Fourth Proportional to 231,146, 318,981.48 and 125,162

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Solution

The fourth proportional to 231,146, 318,981.48 and 125,162 is: 172,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,146 : 318,981.48 = 125,162 : x
  2. Step 2: Convert to fraction form
    231,146/318,981.48 = 125,162/x
  3. Step 3: Cross multiply
    231,146x = 318,981.48 × 125,162
  4. Step 4: Simplify right side
    231,146x = 39,924,359,999.76
  5. Step 5: Solve for x
    x = 39,924,359,999.76/231,146
  6. Step 6: Final answer
    x = 172,723.56

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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.