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Finding the Fourth Proportional to 117.60, 162.32 and 113.80

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Solution

The fourth proportional to 117.60, 162.32 and 113.80 is: 157.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.60 : 162.32 = 113.80 : x
  2. Step 2: Convert to fraction form
    117.60/162.32 = 113.80/x
  3. Step 3: Cross multiply
    117.60x = 162.32 × 113.80
  4. Step 4: Simplify right side
    117.60x = 18,472.02
  5. Step 5: Solve for x
    x = 18,472.02/117.60
  6. Step 6: Final answer
    x = 157.07

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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.