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Finding the Fourth Proportional to 261,345.40, 391,971.33 and 69,221.14

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Solution

The fourth proportional to 261,345.40, 391,971.33 and 69,221.14 is: 103,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,345.40 : 391,971.33 = 69,221.14 : x
  2. Step 2: Convert to fraction form
    261,345.40/391,971.33 = 69,221.14/x
  3. Step 3: Cross multiply
    261,345.40x = 391,971.33 × 69,221.14
  4. Step 4: Simplify right side
    261,345.40x = 27,132,702,309.92
  5. Step 5: Solve for x
    x = 27,132,702,309.92/261,345.40
  6. Step 6: Final answer
    x = 103,819.32

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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.