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Finding the Fourth Proportional to 71.50, 106.74 and 61.36

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Solution

The fourth proportional to 71.50, 106.74 and 61.36 is: 91.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 106.74 = 61.36 : x
  2. Step 2: Convert to fraction form
    71.50/106.74 = 61.36/x
  3. Step 3: Cross multiply
    71.50x = 106.74 × 61.36
  4. Step 4: Simplify right side
    71.50x = 6,549.57
  5. Step 5: Solve for x
    x = 6,549.57/71.50
  6. Step 6: Final answer
    x = 91.60

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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.