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Finding the Fourth Proportional to 55.78, 83.50 and 47.05

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Solution

The fourth proportional to 55.78, 83.50 and 47.05 is: 70.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.78 : 83.50 = 47.05 : x
  2. Step 2: Convert to fraction form
    55.78/83.50 = 47.05/x
  3. Step 3: Cross multiply
    55.78x = 83.50 × 47.05
  4. Step 4: Simplify right side
    55.78x = 3,928.68
  5. Step 5: Solve for x
    x = 3,928.68/55.78
  6. Step 6: Final answer
    x = 70.43

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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.