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Finding the Fourth Proportional to 82,866.72, 124,301.34 and 20,537.28

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Solution

The fourth proportional to 82,866.72, 124,301.34 and 20,537.28 is: 30,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,866.72 : 124,301.34 = 20,537.28 : x
  2. Step 2: Convert to fraction form
    82,866.72/124,301.34 = 20,537.28/x
  3. Step 3: Cross multiply
    82,866.72x = 124,301.34 × 20,537.28
  4. Step 4: Simplify right side
    82,866.72x = 2,552,811,423.96
  5. Step 5: Solve for x
    x = 2,552,811,423.96/82,866.72
  6. Step 6: Final answer
    x = 30,806.23

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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.