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Finding the Fourth Proportional to 102,986.30, 154,479.45 and 32,872.70

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Solution

The fourth proportional to 102,986.30, 154,479.45 and 32,872.70 is: 49,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,986.30 : 154,479.45 = 32,872.70 : x
  2. Step 2: Convert to fraction form
    102,986.30/154,479.45 = 32,872.70/x
  3. Step 3: Cross multiply
    102,986.30x = 154,479.45 × 32,872.70
  4. Step 4: Simplify right side
    102,986.30x = 5,078,156,616.02
  5. Step 5: Solve for x
    x = 5,078,156,616.02/102,986.30
  6. Step 6: Final answer
    x = 49,309.05

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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.