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Finding the Fourth Proportional to 117.52, 176.34 and 45.43

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Solution

The fourth proportional to 117.52, 176.34 and 45.43 is: 68.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.52 : 176.34 = 45.43 : x
  2. Step 2: Convert to fraction form
    117.52/176.34 = 45.43/x
  3. Step 3: Cross multiply
    117.52x = 176.34 × 45.43
  4. Step 4: Simplify right side
    117.52x = 8,010.24
  5. Step 5: Solve for x
    x = 8,010.24/117.52
  6. Step 6: Final answer
    x = 68.16

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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.