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Finding the Fourth Proportional to 73.08, 100.90 and 56.68

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Solution

The fourth proportional to 73.08, 100.90 and 56.68 is: 78.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.08 : 100.90 = 56.68 : x
  2. Step 2: Convert to fraction form
    73.08/100.90 = 56.68/x
  3. Step 3: Cross multiply
    73.08x = 100.90 × 56.68
  4. Step 4: Simplify right side
    73.08x = 5,719.01
  5. Step 5: Solve for x
    x = 5,719.01/73.08
  6. Step 6: Final answer
    x = 78.26

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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.