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Finding the Fourth Proportional to 261,046.65, 391,569.98 and 178,102.65

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Solution

The fourth proportional to 261,046.65, 391,569.98 and 178,102.65 is: 267,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,046.65 : 391,569.98 = 178,102.65 : x
  2. Step 2: Convert to fraction form
    261,046.65/391,569.98 = 178,102.65/x
  3. Step 3: Cross multiply
    261,046.65x = 391,569.98 × 178,102.65
  4. Step 4: Simplify right side
    261,046.65x = 69,739,650,207.93
  5. Step 5: Solve for x
    x = 69,739,650,207.93/261,046.65
  6. Step 6: Final answer
    x = 267,153.98

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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.