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Finding the Fourth Proportional to 71.40, 106.70 and 57.54

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Solution

The fourth proportional to 71.40, 106.70 and 57.54 is: 85.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.40 : 106.70 = 57.54 : x
  2. Step 2: Convert to fraction form
    71.40/106.70 = 57.54/x
  3. Step 3: Cross multiply
    71.40x = 106.70 × 57.54
  4. Step 4: Simplify right side
    71.40x = 6,139.26
  5. Step 5: Solve for x
    x = 6,139.26/71.40
  6. Step 6: Final answer
    x = 85.98

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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.