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Finding the Fourth Proportional to 82,134.66, 123,432.84 and 48,860.76

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Solution

The fourth proportional to 82,134.66, 123,432.84 and 48,860.76 is: 73,428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,134.66 : 123,432.84 = 48,860.76 : x
  2. Step 2: Convert to fraction form
    82,134.66/123,432.84 = 48,860.76/x
  3. Step 3: Cross multiply
    82,134.66x = 123,432.84 × 48,860.76
  4. Step 4: Simplify right side
    82,134.66x = 6,031,022,371.36
  5. Step 5: Solve for x
    x = 6,031,022,371.36/82,134.66
  6. Step 6: Final answer
    x = 73,428.47

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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.