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Finding the Fourth Proportional to 261,282.88, 391,900.02 and 71,736.40

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Solution

The fourth proportional to 261,282.88, 391,900.02 and 71,736.40 is: 107,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,282.88 : 391,900.02 = 71,736.40 : x
  2. Step 2: Convert to fraction form
    261,282.88/391,900.02 = 71,736.40/x
  3. Step 3: Cross multiply
    261,282.88x = 391,900.02 × 71,736.40
  4. Step 4: Simplify right side
    261,282.88x = 28,113,496,594.73
  5. Step 5: Solve for x
    x = 28,113,496,594.73/261,282.88
  6. Step 6: Final answer
    x = 107,597.93

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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.