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Finding the Fourth Proportional to 89.51, 133.33 and 83.90

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Solution

The fourth proportional to 89.51, 133.33 and 83.90 is: 124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.51 : 133.33 = 83.90 : x
  2. Step 2: Convert to fraction form
    89.51/133.33 = 83.90/x
  3. Step 3: Cross multiply
    89.51x = 133.33 × 83.90
  4. Step 4: Simplify right side
    89.51x = 11,187.02
  5. Step 5: Solve for x
    x = 11,187.02/89.51
  6. Step 6: Final answer
    x = 124.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.