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Finding the Fourth Proportional to 132.86, 183.12 and 117.78

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Solution

The fourth proportional to 132.86, 183.12 and 117.78 is: 162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.86 : 183.12 = 117.78 : x
  2. Step 2: Convert to fraction form
    132.86/183.12 = 117.78/x
  3. Step 3: Cross multiply
    132.86x = 183.12 × 117.78
  4. Step 4: Simplify right side
    132.86x = 21,567.87
  5. Step 5: Solve for x
    x = 21,567.87/132.86
  6. Step 6: Final answer
    x = 162.34

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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.