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Finding the Fourth Proportional to 78.26, 116.70 and 70.16

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Solution

The fourth proportional to 78.26, 116.70 and 70.16 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 116.70 = 70.16 : x
  2. Step 2: Convert to fraction form
    78.26/116.70 = 70.16/x
  3. Step 3: Cross multiply
    78.26x = 116.70 × 70.16
  4. Step 4: Simplify right side
    78.26x = 8,187.67
  5. Step 5: Solve for x
    x = 8,187.67/78.26
  6. Step 6: Final answer
    x = 104.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.