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Finding the Fourth Proportional to 149,798.72, 206,723.79 and 81,817.65

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Solution

The fourth proportional to 149,798.72, 206,723.79 and 81,817.65 is: 112,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,798.72 : 206,723.79 = 81,817.65 : x
  2. Step 2: Convert to fraction form
    149,798.72/206,723.79 = 81,817.65/x
  3. Step 3: Cross multiply
    149,798.72x = 206,723.79 × 81,817.65
  4. Step 4: Simplify right side
    149,798.72x = 16,913,654,696.89
  5. Step 5: Solve for x
    x = 16,913,654,696.89/149,798.72
  6. Step 6: Final answer
    x = 112,909.21

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1.5x scale

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.