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Finding the Fourth Proportional to 72.62, 100.10 and 49.30

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Solution

The fourth proportional to 72.62, 100.10 and 49.30 is: 67.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.62 : 100.10 = 49.30 : x
  2. Step 2: Convert to fraction form
    72.62/100.10 = 49.30/x
  3. Step 3: Cross multiply
    72.62x = 100.10 × 49.30
  4. Step 4: Simplify right side
    72.62x = 4,935.08
  5. Step 5: Solve for x
    x = 4,935.08/72.62
  6. Step 6: Final answer
    x = 67.96

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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.