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Finding the Fourth Proportional to 71.19, 106.38 and 61.56

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Solution

The fourth proportional to 71.19, 106.38 and 61.56 is: 91.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 106.38 = 61.56 : x
  2. Step 2: Convert to fraction form
    71.19/106.38 = 61.56/x
  3. Step 3: Cross multiply
    71.19x = 106.38 × 61.56
  4. Step 4: Simplify right side
    71.19x = 6,548.75
  5. Step 5: Solve for x
    x = 6,548.75/71.19
  6. Step 6: Final answer
    x = 91.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.