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Finding the Fourth Proportional to 82,315.61, 123,470.66 and 34,900.20

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Solution

The fourth proportional to 82,315.61, 123,470.66 and 34,900.20 is: 52,349.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,315.61 : 123,470.66 = 34,900.20 : x
  2. Step 2: Convert to fraction form
    82,315.61/123,470.66 = 34,900.20/x
  3. Step 3: Cross multiply
    82,315.61x = 123,470.66 × 34,900.20
  4. Step 4: Simplify right side
    82,315.61x = 4,309,150,553.63
  5. Step 5: Solve for x
    x = 4,309,150,553.63/82,315.61
  6. Step 6: Final answer
    x = 52,349.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.