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Finding the Fourth Proportional to 261,242.64, 360,545.04 and 148,086

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Solution

The fourth proportional to 261,242.64, 360,545.04 and 148,086 is: 204,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,242.64 : 360,545.04 = 148,086 : x
  2. Step 2: Convert to fraction form
    261,242.64/360,545.04 = 148,086/x
  3. Step 3: Cross multiply
    261,242.64x = 360,545.04 × 148,086
  4. Step 4: Simplify right side
    261,242.64x = 53,391,672,793.44
  5. Step 5: Solve for x
    x = 53,391,672,793.44/261,242.64
  6. Step 6: Final answer
    x = 204,375.80

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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.