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Finding the Fourth Proportional to 78.42, 117.65 and 37.82

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Solution

The fourth proportional to 78.42, 117.65 and 37.82 is: 56.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 117.65 = 37.82 : x
  2. Step 2: Convert to fraction form
    78.42/117.65 = 37.82/x
  3. Step 3: Cross multiply
    78.42x = 117.65 × 37.82
  4. Step 4: Simplify right side
    78.42x = 4,449.25
  5. Step 5: Solve for x
    x = 4,449.25/78.42
  6. Step 6: Final answer
    x = 56.74

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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.