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Finding the Fourth Proportional to 68,418, 102,542.76 and 48,589.20

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Solution

The fourth proportional to 68,418, 102,542.76 and 48,589.20 is: 72,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,418 : 102,542.76 = 48,589.20 : x
  2. Step 2: Convert to fraction form
    68,418/102,542.76 = 48,589.20/x
  3. Step 3: Cross multiply
    68,418x = 102,542.76 × 48,589.20
  4. Step 4: Simplify right side
    68,418x = 4,982,470,674.19
  5. Step 5: Solve for x
    x = 4,982,470,674.19/68,418
  6. Step 6: Final answer
    x = 72,823.97

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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.