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Finding the Fourth Proportional to 73.01, 100.78 and 49.70

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Solution

The fourth proportional to 73.01, 100.78 and 49.70 is: 68.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.01 : 100.78 = 49.70 : x
  2. Step 2: Convert to fraction form
    73.01/100.78 = 49.70/x
  3. Step 3: Cross multiply
    73.01x = 100.78 × 49.70
  4. Step 4: Simplify right side
    73.01x = 5,008.89
  5. Step 5: Solve for x
    x = 5,008.89/73.01
  6. Step 6: Final answer
    x = 68.60

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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.