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Finding the Fourth Proportional to 83.89, 126.07 and 56.56

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Solution

The fourth proportional to 83.89, 126.07 and 56.56 is: 85.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.89 : 126.07 = 56.56 : x
  2. Step 2: Convert to fraction form
    83.89/126.07 = 56.56/x
  3. Step 3: Cross multiply
    83.89x = 126.07 × 56.56
  4. Step 4: Simplify right side
    83.89x = 7,130.35
  5. Step 5: Solve for x
    x = 7,130.35/83.89
  6. Step 6: Final answer
    x = 85.00

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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.