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Finding the Fourth Proportional to 57,705.56, 86,568.06 and 26,540

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Solution

The fourth proportional to 57,705.56, 86,568.06 and 26,540 is: 39,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,705.56 : 86,568.06 = 26,540 : x
  2. Step 2: Convert to fraction form
    57,705.56/86,568.06 = 26,540/x
  3. Step 3: Cross multiply
    57,705.56x = 86,568.06 × 26,540
  4. Step 4: Simplify right side
    57,705.56x = 2,297,516,312.40
  5. Step 5: Solve for x
    x = 2,297,516,312.40/57,705.56
  6. Step 6: Final answer
    x = 39,814.47

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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.