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Finding the Fourth Proportional to 51.86, 78.35 and 51.36

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Solution

The fourth proportional to 51.86, 78.35 and 51.36 is: 77.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.86 : 78.35 = 51.36 : x
  2. Step 2: Convert to fraction form
    51.86/78.35 = 51.36/x
  3. Step 3: Cross multiply
    51.86x = 78.35 × 51.36
  4. Step 4: Simplify right side
    51.86x = 4,024.06
  5. Step 5: Solve for x
    x = 4,024.06/51.86
  6. Step 6: Final answer
    x = 77.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.