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Finding the Fourth Proportional to 117.62, 176.03 and 101.78

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Solution

The fourth proportional to 117.62, 176.03 and 101.78 is: 152.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.62 : 176.03 = 101.78 : x
  2. Step 2: Convert to fraction form
    117.62/176.03 = 101.78/x
  3. Step 3: Cross multiply
    117.62x = 176.03 × 101.78
  4. Step 4: Simplify right side
    117.62x = 17,916.33
  5. Step 5: Solve for x
    x = 17,916.33/117.62
  6. Step 6: Final answer
    x = 152.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.