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Finding the Fourth Proportional to 117.42, 161.85 and 89.75

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Solution

The fourth proportional to 117.42, 161.85 and 89.75 is: 123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 161.85 = 89.75 : x
  2. Step 2: Convert to fraction form
    117.42/161.85 = 89.75/x
  3. Step 3: Cross multiply
    117.42x = 161.85 × 89.75
  4. Step 4: Simplify right side
    117.42x = 14,525.23
  5. Step 5: Solve for x
    x = 14,525.23/117.42
  6. Step 6: Final answer
    x = 123.70

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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.