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Finding the Fourth Proportional to 68,949.20, 103,423.80 and 24,577.40

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Solution

The fourth proportional to 68,949.20, 103,423.80 and 24,577.40 is: 36,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,949.20 : 103,423.80 = 24,577.40 : x
  2. Step 2: Convert to fraction form
    68,949.20/103,423.80 = 24,577.40/x
  3. Step 3: Cross multiply
    68,949.20x = 103,423.80 × 24,577.40
  4. Step 4: Simplify right side
    68,949.20x = 2,541,888,102.12
  5. Step 5: Solve for x
    x = 2,541,888,102.12/68,949.20
  6. Step 6: Final answer
    x = 36,866.10

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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.