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Finding the Fourth Proportional to 117.29, 175.67 and 78.78

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Solution

The fourth proportional to 117.29, 175.67 and 78.78 is: 117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.29 : 175.67 = 78.78 : x
  2. Step 2: Convert to fraction form
    117.29/175.67 = 78.78/x
  3. Step 3: Cross multiply
    117.29x = 175.67 × 78.78
  4. Step 4: Simplify right side
    117.29x = 13,838.89
  5. Step 5: Solve for x
    x = 13,838.89/117.29
  6. Step 6: Final answer
    x = 117.99

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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.