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Finding the Fourth Proportional to 78.02, 117.08 and 32.40

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Solution

The fourth proportional to 78.02, 117.08 and 32.40 is: 48.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 117.08 = 32.40 : x
  2. Step 2: Convert to fraction form
    78.02/117.08 = 32.40/x
  3. Step 3: Cross multiply
    78.02x = 117.08 × 32.40
  4. Step 4: Simplify right side
    78.02x = 3,793.23
  5. Step 5: Solve for x
    x = 3,793.23/78.02
  6. Step 6: Final answer
    x = 48.62

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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.