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Finding the Fourth Proportional to 78.32, 117.46 and 32.67

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Solution

The fourth proportional to 78.32, 117.46 and 32.67 is: 49.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.32 : 117.46 = 32.67 : x
  2. Step 2: Convert to fraction form
    78.32/117.46 = 32.67/x
  3. Step 3: Cross multiply
    78.32x = 117.46 × 32.67
  4. Step 4: Simplify right side
    78.32x = 3,837.42
  5. Step 5: Solve for x
    x = 3,837.42/78.32
  6. Step 6: Final answer
    x = 49.00

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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.