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Finding the Fourth Proportional to 109.72, 151.56 and 89.25

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Solution

The fourth proportional to 109.72, 151.56 and 89.25 is: 123.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 151.56 = 89.25 : x
  2. Step 2: Convert to fraction form
    109.72/151.56 = 89.25/x
  3. Step 3: Cross multiply
    109.72x = 151.56 × 89.25
  4. Step 4: Simplify right side
    109.72x = 13,525.53
  5. Step 5: Solve for x
    x = 13,525.53/109.72
  6. Step 6: Final answer
    x = 123.28

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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.