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Finding the Fourth Proportional to 87.93, 121.40 and 84.07

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Solution

The fourth proportional to 87.93, 121.40 and 84.07 is: 116.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.93 : 121.40 = 84.07 : x
  2. Step 2: Convert to fraction form
    87.93/121.40 = 84.07/x
  3. Step 3: Cross multiply
    87.93x = 121.40 × 84.07
  4. Step 4: Simplify right side
    87.93x = 10,206.10
  5. Step 5: Solve for x
    x = 10,206.10/87.93
  6. Step 6: Final answer
    x = 116.07

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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.