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Finding the Fourth Proportional to 82,124.64, 112,593.12 and 80,629.92

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Solution

The fourth proportional to 82,124.64, 112,593.12 and 80,629.92 is: 110,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124.64 : 112,593.12 = 80,629.92 : x
  2. Step 2: Convert to fraction form
    82,124.64/112,593.12 = 80,629.92/x
  3. Step 3: Cross multiply
    82,124.64x = 112,593.12 × 80,629.92
  4. Step 4: Simplify right side
    82,124.64x = 9,078,374,258.15
  5. Step 5: Solve for x
    x = 9,078,374,258.15/82,124.64
  6. Step 6: Final answer
    x = 110,543.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.