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Finding the Fourth Proportional to 124.08, 170.16 and 116.64

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Solution

The fourth proportional to 124.08, 170.16 and 116.64 is: 159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.08 : 170.16 = 116.64 : x
  2. Step 2: Convert to fraction form
    124.08/170.16 = 116.64/x
  3. Step 3: Cross multiply
    124.08x = 170.16 × 116.64
  4. Step 4: Simplify right side
    124.08x = 19,847.46
  5. Step 5: Solve for x
    x = 19,847.46/124.08
  6. Step 6: Final answer
    x = 159.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.