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Finding the Fourth Proportional to 118.03, 162.61 and 78.61

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Solution

The fourth proportional to 118.03, 162.61 and 78.61 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.03 : 162.61 = 78.61 : x
  2. Step 2: Convert to fraction form
    118.03/162.61 = 78.61/x
  3. Step 3: Cross multiply
    118.03x = 162.61 × 78.61
  4. Step 4: Simplify right side
    118.03x = 12,782.77
  5. Step 5: Solve for x
    x = 12,782.77/118.03
  6. Step 6: Final answer
    x = 108.31

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