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Finding the Fourth Proportional to 109.95, 151.66 and 89.19

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Solution

The fourth proportional to 109.95, 151.66 and 89.19 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.95 : 151.66 = 89.19 : x
  2. Step 2: Convert to fraction form
    109.95/151.66 = 89.19/x
  3. Step 3: Cross multiply
    109.95x = 151.66 × 89.19
  4. Step 4: Simplify right side
    109.95x = 13,526.49
  5. Step 5: Solve for x
    x = 13,526.49/109.95
  6. Step 6: Final answer
    x = 123.02

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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.