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Finding the Fourth Proportional to 89.47, 122.91 and 77.02

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Solution

The fourth proportional to 89.47, 122.91 and 77.02 is: 105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.47 : 122.91 = 77.02 : x
  2. Step 2: Convert to fraction form
    89.47/122.91 = 77.02/x
  3. Step 3: Cross multiply
    89.47x = 122.91 × 77.02
  4. Step 4: Simplify right side
    89.47x = 9,465.93
  5. Step 5: Solve for x
    x = 9,465.93/89.47
  6. Step 6: Final answer
    x = 105.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.