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Finding the Fourth Proportional to 82,857.70, 124,286.55 and 32,921.20

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Solution

The fourth proportional to 82,857.70, 124,286.55 and 32,921.20 is: 49,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,857.70 : 124,286.55 = 32,921.20 : x
  2. Step 2: Convert to fraction form
    82,857.70/124,286.55 = 32,921.20/x
  3. Step 3: Cross multiply
    82,857.70x = 124,286.55 × 32,921.20
  4. Step 4: Simplify right side
    82,857.70x = 4,091,662,369.86
  5. Step 5: Solve for x
    x = 4,091,662,369.86/82,857.70
  6. Step 6: Final answer
    x = 49,381.80

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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.