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Finding the Fourth Proportional to 261,272, 391,928.25 and 81,334.82

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Solution

The fourth proportional to 261,272, 391,928.25 and 81,334.82 is: 122,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,272 : 391,928.25 = 81,334.82 : x
  2. Step 2: Convert to fraction form
    261,272/391,928.25 = 81,334.82/x
  3. Step 3: Cross multiply
    261,272x = 391,928.25 × 81,334.82
  4. Step 4: Simplify right side
    261,272x = 31,877,413,666.67
  5. Step 5: Solve for x
    x = 31,877,413,666.67/261,272
  6. Step 6: Final answer
    x = 122,008.53

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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.