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Finding the Fourth Proportional to 82,446.65, 123,679.83 and 29,127.59

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Solution

The fourth proportional to 82,446.65, 123,679.83 and 29,127.59 is: 43,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,446.65 : 123,679.83 = 29,127.59 : x
  2. Step 2: Convert to fraction form
    82,446.65/123,679.83 = 29,127.59/x
  3. Step 3: Cross multiply
    82,446.65x = 123,679.83 × 29,127.59
  4. Step 4: Simplify right side
    82,446.65x = 3,602,495,379.51
  5. Step 5: Solve for x
    x = 3,602,495,379.51/82,446.65
  6. Step 6: Final answer
    x = 43,694.87

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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.