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Finding the Fourth Proportional to 78.84, 117.46 and 74.20

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Solution

The fourth proportional to 78.84, 117.46 and 74.20 is: 110.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.84 : 117.46 = 74.20 : x
  2. Step 2: Convert to fraction form
    78.84/117.46 = 74.20/x
  3. Step 3: Cross multiply
    78.84x = 117.46 × 74.20
  4. Step 4: Simplify right side
    78.84x = 8,715.53
  5. Step 5: Solve for x
    x = 8,715.53/78.84
  6. Step 6: Final answer
    x = 110.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.