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Finding the Fourth Proportional to 261,023, 391,534.50 and 113,279

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Solution

The fourth proportional to 261,023, 391,534.50 and 113,279 is: 169,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,023 : 391,534.50 = 113,279 : x
  2. Step 2: Convert to fraction form
    261,023/391,534.50 = 113,279/x
  3. Step 3: Cross multiply
    261,023x = 391,534.50 × 113,279
  4. Step 4: Simplify right side
    261,023x = 44,352,636,625.50
  5. Step 5: Solve for x
    x = 44,352,636,625.50/261,023
  6. Step 6: Final answer
    x = 169,918.50

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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.