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Finding the Fourth Proportional to 78.13, 116.93 and 57.81

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Solution

The fourth proportional to 78.13, 116.93 and 57.81 is: 86.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.13 : 116.93 = 57.81 : x
  2. Step 2: Convert to fraction form
    78.13/116.93 = 57.81/x
  3. Step 3: Cross multiply
    78.13x = 116.93 × 57.81
  4. Step 4: Simplify right side
    78.13x = 6,759.98
  5. Step 5: Solve for x
    x = 6,759.98/78.13
  6. Step 6: Final answer
    x = 86.52

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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.