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Finding the Fourth Proportional to 57,242.70, 85,864.05 and 26,138.70

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Solution

The fourth proportional to 57,242.70, 85,864.05 and 26,138.70 is: 39,208.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.70 : 85,864.05 = 26,138.70 : x
  2. Step 2: Convert to fraction form
    57,242.70/85,864.05 = 26,138.70/x
  3. Step 3: Cross multiply
    57,242.70x = 85,864.05 × 26,138.70
  4. Step 4: Simplify right side
    57,242.70x = 2,244,374,643.74
  5. Step 5: Solve for x
    x = 2,244,374,643.74/57,242.70
  6. Step 6: Final answer
    x = 39,208.05

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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.