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Finding the Fourth Proportional to 78.48, 117.72 and 32.23

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Solution

The fourth proportional to 78.48, 117.72 and 32.23 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 117.72 = 32.23 : x
  2. Step 2: Convert to fraction form
    78.48/117.72 = 32.23/x
  3. Step 3: Cross multiply
    78.48x = 117.72 × 32.23
  4. Step 4: Simplify right side
    78.48x = 3,794.38
  5. Step 5: Solve for x
    x = 3,794.38/78.48
  6. Step 6: Final answer
    x = 48.35

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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.