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Finding the Fourth Proportional to 149,740.98, 206,643 and 81,758.55

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Solution

The fourth proportional to 149,740.98, 206,643 and 81,758.55 is: 112,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,740.98 : 206,643 = 81,758.55 : x
  2. Step 2: Convert to fraction form
    149,740.98/206,643 = 81,758.55/x
  3. Step 3: Cross multiply
    149,740.98x = 206,643 × 81,758.55
  4. Step 4: Simplify right side
    149,740.98x = 16,894,832,047.65
  5. Step 5: Solve for x
    x = 16,894,832,047.65/149,740.98
  6. Step 6: Final answer
    x = 112,827.04

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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.