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Finding the Fourth Proportional to 78.50, 117.56 and 51.42

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Solution

The fourth proportional to 78.50, 117.56 and 51.42 is: 77.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.50 : 117.56 = 51.42 : x
  2. Step 2: Convert to fraction form
    78.50/117.56 = 51.42/x
  3. Step 3: Cross multiply
    78.50x = 117.56 × 51.42
  4. Step 4: Simplify right side
    78.50x = 6,044.94
  5. Step 5: Solve for x
    x = 6,044.94/78.50
  6. Step 6: Final answer
    x = 77.01

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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.