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Finding the Fourth Proportional to 116.24, 174.04 and 78.16

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Solution

The fourth proportional to 116.24, 174.04 and 78.16 is: 117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 174.04 = 78.16 : x
  2. Step 2: Convert to fraction form
    116.24/174.04 = 78.16/x
  3. Step 3: Cross multiply
    116.24x = 174.04 × 78.16
  4. Step 4: Simplify right side
    116.24x = 13,602.97
  5. Step 5: Solve for x
    x = 13,602.97/116.24
  6. Step 6: Final answer
    x = 117.02

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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.