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Finding the Fourth Proportional to 149,312.65, 206,049.69 and 81,329.41

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Solution

The fourth proportional to 149,312.65, 206,049.69 and 81,329.41 is: 112,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,312.65 : 206,049.69 = 81,329.41 : x
  2. Step 2: Convert to fraction form
    149,312.65/206,049.69 = 81,329.41/x
  3. Step 3: Cross multiply
    149,312.65x = 206,049.69 × 81,329.41
  4. Step 4: Simplify right side
    149,312.65x = 16,757,899,718.38
  5. Step 5: Solve for x
    x = 16,757,899,718.38/149,312.65
  6. Step 6: Final answer
    x = 112,233.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.