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Finding the Fourth Proportional to 113.01, 155.97 and 78.12

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Solution

The fourth proportional to 113.01, 155.97 and 78.12 is: 107.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.01 : 155.97 = 78.12 : x
  2. Step 2: Convert to fraction form
    113.01/155.97 = 78.12/x
  3. Step 3: Cross multiply
    113.01x = 155.97 × 78.12
  4. Step 4: Simplify right side
    113.01x = 12,184.38
  5. Step 5: Solve for x
    x = 12,184.38/113.01
  6. Step 6: Final answer
    x = 107.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.