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Finding the Fourth Proportional to 82,417.70, 123,619.72 and 26,255.54

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Solution

The fourth proportional to 82,417.70, 123,619.72 and 26,255.54 is: 39,381.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,417.70 : 123,619.72 = 26,255.54 : x
  2. Step 2: Convert to fraction form
    82,417.70/123,619.72 = 26,255.54/x
  3. Step 3: Cross multiply
    82,417.70x = 123,619.72 × 26,255.54
  4. Step 4: Simplify right side
    82,417.70x = 3,245,702,795.89
  5. Step 5: Solve for x
    x = 3,245,702,795.89/82,417.70
  6. Step 6: Final answer
    x = 39,381.14

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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.