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Finding the Fourth Proportional to 75.62, 104.38 and 46.50

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Solution

The fourth proportional to 75.62, 104.38 and 46.50 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 104.38 = 46.50 : x
  2. Step 2: Convert to fraction form
    75.62/104.38 = 46.50/x
  3. Step 3: Cross multiply
    75.62x = 104.38 × 46.50
  4. Step 4: Simplify right side
    75.62x = 4,853.55
  5. Step 5: Solve for x
    x = 4,853.55/75.62
  6. Step 6: Final answer
    x = 64.19

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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.