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Finding the Fourth Proportional to 261,044.88, 360,299.88 and 147,930

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Solution

The fourth proportional to 261,044.88, 360,299.88 and 147,930 is: 204,176.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,044.88 : 360,299.88 = 147,930 : x
  2. Step 2: Convert to fraction form
    261,044.88/360,299.88 = 147,930/x
  3. Step 3: Cross multiply
    261,044.88x = 360,299.88 × 147,930
  4. Step 4: Simplify right side
    261,044.88x = 53,299,161,248.40
  5. Step 5: Solve for x
    x = 53,299,161,248.40/261,044.88
  6. Step 6: Final answer
    x = 204,176.24

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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.