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Finding the Fourth Proportional to 78.11, 116.82 and 70.93

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Solution

The fourth proportional to 78.11, 116.82 and 70.93 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.11 : 116.82 = 70.93 : x
  2. Step 2: Convert to fraction form
    78.11/116.82 = 70.93/x
  3. Step 3: Cross multiply
    78.11x = 116.82 × 70.93
  4. Step 4: Simplify right side
    78.11x = 8,285.69
  5. Step 5: Solve for x
    x = 8,285.69/78.11
  6. Step 6: Final answer
    x = 106.08

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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.