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Finding the Fourth Proportional to 140.18, 193.44 and 78.01

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Solution

The fourth proportional to 140.18, 193.44 and 78.01 is: 107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.18 : 193.44 = 78.01 : x
  2. Step 2: Convert to fraction form
    140.18/193.44 = 78.01/x
  3. Step 3: Cross multiply
    140.18x = 193.44 × 78.01
  4. Step 4: Simplify right side
    140.18x = 15,089.29
  5. Step 5: Solve for x
    x = 15,089.29/140.18
  6. Step 6: Final answer
    x = 107.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.