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Finding the Fourth Proportional to 113.85, 156.92 and 77.00

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Solution

The fourth proportional to 113.85, 156.92 and 77.00 is: 106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.85 : 156.92 = 77.00 : x
  2. Step 2: Convert to fraction form
    113.85/156.92 = 77.00/x
  3. Step 3: Cross multiply
    113.85x = 156.92 × 77.00
  4. Step 4: Simplify right side
    113.85x = 12,081.67
  5. Step 5: Solve for x
    x = 12,081.67/113.85
  6. Step 6: Final answer
    x = 106.12

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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.