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Finding the Fourth Proportional to 111.85, 154.50 and 89.77

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Solution

The fourth proportional to 111.85, 154.50 and 89.77 is: 124.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.85 : 154.50 = 89.77 : x
  2. Step 2: Convert to fraction form
    111.85/154.50 = 89.77/x
  3. Step 3: Cross multiply
    111.85x = 154.50 × 89.77
  4. Step 4: Simplify right side
    111.85x = 13,869.47
  5. Step 5: Solve for x
    x = 13,869.47/111.85
  6. Step 6: Final answer
    x = 124.00

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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.