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Finding the Fourth Proportional to 260,721.60, 391,089.69 and 92,218.11

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Solution

The fourth proportional to 260,721.60, 391,089.69 and 92,218.11 is: 138,329.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,721.60 : 391,089.69 = 92,218.11 : x
  2. Step 2: Convert to fraction form
    260,721.60/391,089.69 = 92,218.11/x
  3. Step 3: Cross multiply
    260,721.60x = 391,089.69 × 92,218.11
  4. Step 4: Simplify right side
    260,721.60x = 36,065,552,052.29
  5. Step 5: Solve for x
    x = 36,065,552,052.29/260,721.60
  6. Step 6: Final answer
    x = 138,329.74

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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.