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Finding the Fourth Proportional to 261,115.50, 360,339.84 and 147,945.90

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Solution

The fourth proportional to 261,115.50, 360,339.84 and 147,945.90 is: 204,165.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,115.50 : 360,339.84 = 147,945.90 : x
  2. Step 2: Convert to fraction form
    261,115.50/360,339.84 = 147,945.90/x
  3. Step 3: Cross multiply
    261,115.50x = 360,339.84 × 147,945.90
  4. Step 4: Simplify right side
    261,115.50x = 53,310,801,934.66
  5. Step 5: Solve for x
    x = 53,310,801,934.66/261,115.50
  6. Step 6: Final answer
    x = 204,165.60

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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.