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Finding the Fourth Proportional to 199,502.97, 299,364.61 and 81,257.55

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Solution

The fourth proportional to 199,502.97, 299,364.61 and 81,257.55 is: 121,931.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,502.97 : 299,364.61 = 81,257.55 : x
  2. Step 2: Convert to fraction form
    199,502.97/299,364.61 = 81,257.55/x
  3. Step 3: Cross multiply
    199,502.97x = 299,364.61 × 81,257.55
  4. Step 4: Simplify right side
    199,502.97x = 24,325,633,268.48
  5. Step 5: Solve for x
    x = 24,325,633,268.48/199,502.97
  6. Step 6: Final answer
    x = 121,931.19

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1.5x scale

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.