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Finding the Fourth Proportional to 78.56, 117.89 and 35.23

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Solution

The fourth proportional to 78.56, 117.89 and 35.23 is: 52.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.56 : 117.89 = 35.23 : x
  2. Step 2: Convert to fraction form
    78.56/117.89 = 35.23/x
  3. Step 3: Cross multiply
    78.56x = 117.89 × 35.23
  4. Step 4: Simplify right side
    78.56x = 4,152.79
  5. Step 5: Solve for x
    x = 4,152.79/78.56
  6. Step 6: Final answer
    x = 52.86

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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.