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Finding the Fourth Proportional to 261,019.24, 391,662.78 and 127,897

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Solution

The fourth proportional to 261,019.24, 391,662.78 and 127,897 is: 191,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,019.24 : 391,662.78 = 127,897 : x
  2. Step 2: Convert to fraction form
    261,019.24/391,662.78 = 127,897/x
  3. Step 3: Cross multiply
    261,019.24x = 391,662.78 × 127,897
  4. Step 4: Simplify right side
    261,019.24x = 50,092,494,573.66
  5. Step 5: Solve for x
    x = 50,092,494,573.66/261,019.24
  6. Step 6: Final answer
    x = 191,911.12

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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.