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Finding the Fourth Proportional to 71.94, 107.93 and 46.29

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Solution

The fourth proportional to 71.94, 107.93 and 46.29 is: 69.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.94 : 107.93 = 46.29 : x
  2. Step 2: Convert to fraction form
    71.94/107.93 = 46.29/x
  3. Step 3: Cross multiply
    71.94x = 107.93 × 46.29
  4. Step 4: Simplify right side
    71.94x = 4,996.20
  5. Step 5: Solve for x
    x = 4,996.20/71.94
  6. Step 6: Final answer
    x = 69.45

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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.