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Finding the Fourth Proportional to 87.83, 121.23 and 56.74

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Solution

The fourth proportional to 87.83, 121.23 and 56.74 is: 78.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.83 : 121.23 = 56.74 : x
  2. Step 2: Convert to fraction form
    87.83/121.23 = 56.74/x
  3. Step 3: Cross multiply
    87.83x = 121.23 × 56.74
  4. Step 4: Simplify right side
    87.83x = 6,878.70
  5. Step 5: Solve for x
    x = 6,878.70/87.83
  6. Step 6: Final answer
    x = 78.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.