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Finding the Fourth Proportional to 83,842.57, 125,763.95 and 21,513.07

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Solution

The fourth proportional to 83,842.57, 125,763.95 and 21,513.07 is: 32,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,842.57 : 125,763.95 = 21,513.07 : x
  2. Step 2: Convert to fraction form
    83,842.57/125,763.95 = 21,513.07/x
  3. Step 3: Cross multiply
    83,842.57x = 125,763.95 × 21,513.07
  4. Step 4: Simplify right side
    83,842.57x = 2,705,568,659.83
  5. Step 5: Solve for x
    x = 2,705,568,659.83/83,842.57
  6. Step 6: Final answer
    x = 32,269.63

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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.