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Finding the Fourth Proportional to 92.99, 140.05 and 78.65

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Solution

The fourth proportional to 92.99, 140.05 and 78.65 is: 118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.99 : 140.05 = 78.65 : x
  2. Step 2: Convert to fraction form
    92.99/140.05 = 78.65/x
  3. Step 3: Cross multiply
    92.99x = 140.05 × 78.65
  4. Step 4: Simplify right side
    92.99x = 11,014.86
  5. Step 5: Solve for x
    x = 11,014.86/92.99
  6. Step 6: Final answer
    x = 118.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.