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Finding the Fourth Proportional to 71.74, 99.06 and 57.16

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Solution

The fourth proportional to 71.74, 99.06 and 57.16 is: 78.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.74 : 99.06 = 57.16 : x
  2. Step 2: Convert to fraction form
    71.74/99.06 = 57.16/x
  3. Step 3: Cross multiply
    71.74x = 99.06 × 57.16
  4. Step 4: Simplify right side
    71.74x = 5,662.27
  5. Step 5: Solve for x
    x = 5,662.27/71.74
  6. Step 6: Final answer
    x = 78.93

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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.