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Finding the Fourth Proportional to 83,782.71, 115,718.85 and 55,439.19

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Solution

The fourth proportional to 83,782.71, 115,718.85 and 55,439.19 is: 76,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,782.71 : 115,718.85 = 55,439.19 : x
  2. Step 2: Convert to fraction form
    83,782.71/115,718.85 = 55,439.19/x
  3. Step 3: Cross multiply
    83,782.71x = 115,718.85 × 55,439.19
  4. Step 4: Simplify right side
    83,782.71x = 6,415,359,311.73
  5. Step 5: Solve for x
    x = 6,415,359,311.73/83,782.71
  6. Step 6: Final answer
    x = 76,571.40

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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.