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Finding the Fourth Proportional to 84.77, 127.05 and 41.43

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Solution

The fourth proportional to 84.77, 127.05 and 41.43 is: 62.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.77 : 127.05 = 41.43 : x
  2. Step 2: Convert to fraction form
    84.77/127.05 = 41.43/x
  3. Step 3: Cross multiply
    84.77x = 127.05 × 41.43
  4. Step 4: Simplify right side
    84.77x = 5,263.68
  5. Step 5: Solve for x
    x = 5,263.68/84.77
  6. Step 6: Final answer
    x = 62.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.