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Finding the Fourth Proportional to 149,524.65, 206,348.97 and 81,547.22

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Solution

The fourth proportional to 149,524.65, 206,348.97 and 81,547.22 is: 112,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,524.65 : 206,348.97 = 81,547.22 : x
  2. Step 2: Convert to fraction form
    149,524.65/206,348.97 = 81,547.22/x
  3. Step 3: Cross multiply
    149,524.65x = 206,348.97 × 81,547.22
  4. Step 4: Simplify right side
    149,524.65x = 16,827,183,821.62
  5. Step 5: Solve for x
    x = 16,827,183,821.62/149,524.65
  6. Step 6: Final answer
    x = 112,537.86

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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.