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Finding the Fourth Proportional to 132,382.75, 182,688.20 and 72,766.75

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Solution

The fourth proportional to 132,382.75, 182,688.20 and 72,766.75 is: 100,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.75 : 182,688.20 = 72,766.75 : x
  2. Step 2: Convert to fraction form
    132,382.75/182,688.20 = 72,766.75/x
  3. Step 3: Cross multiply
    132,382.75x = 182,688.20 × 72,766.75
  4. Step 4: Simplify right side
    132,382.75x = 13,293,626,577.35
  5. Step 5: Solve for x
    x = 13,293,626,577.35/132,382.75
  6. Step 6: Final answer
    x = 100,418.12

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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.