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Finding the Fourth Proportional to 82,712.70, 124,008.30 and 32,768.10

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Solution

The fourth proportional to 82,712.70, 124,008.30 and 32,768.10 is: 49,128.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712.70 : 124,008.30 = 32,768.10 : x
  2. Step 2: Convert to fraction form
    82,712.70/124,008.30 = 32,768.10/x
  3. Step 3: Cross multiply
    82,712.70x = 124,008.30 × 32,768.10
  4. Step 4: Simplify right side
    82,712.70x = 4,063,516,375.23
  5. Step 5: Solve for x
    x = 4,063,516,375.23/82,712.70
  6. Step 6: Final answer
    x = 49,128.08

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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.