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Finding the Fourth Proportional to 261,156, 391,738.32 and 113,412

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Solution

The fourth proportional to 261,156, 391,738.32 and 113,412 is: 170,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,156 : 391,738.32 = 113,412 : x
  2. Step 2: Convert to fraction form
    261,156/391,738.32 = 113,412/x
  3. Step 3: Cross multiply
    261,156x = 391,738.32 × 113,412
  4. Step 4: Simplify right side
    261,156x = 44,427,826,347.84
  5. Step 5: Solve for x
    x = 44,427,826,347.84/261,156
  6. Step 6: Final answer
    x = 170,119.88

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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.