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Finding the Fourth Proportional to 82,760.50, 124,141.07 and 20,431

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Solution

The fourth proportional to 82,760.50, 124,141.07 and 20,431 is: 30,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,760.50 : 124,141.07 = 20,431 : x
  2. Step 2: Convert to fraction form
    82,760.50/124,141.07 = 20,431/x
  3. Step 3: Cross multiply
    82,760.50x = 124,141.07 × 20,431
  4. Step 4: Simplify right side
    82,760.50x = 2,536,326,201.17
  5. Step 5: Solve for x
    x = 2,536,326,201.17/82,760.50
  6. Step 6: Final answer
    x = 30,646.58

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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.