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Finding the Fourth Proportional to 73.09, 100.96 and 56.93

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Solution

The fourth proportional to 73.09, 100.96 and 56.93 is: 78.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 100.96 = 56.93 : x
  2. Step 2: Convert to fraction form
    73.09/100.96 = 56.93/x
  3. Step 3: Cross multiply
    73.09x = 100.96 × 56.93
  4. Step 4: Simplify right side
    73.09x = 5,747.01
  5. Step 5: Solve for x
    x = 5,747.01/73.09
  6. Step 6: Final answer
    x = 78.63

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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.