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Finding the Fourth Proportional to 68.07, 94.02 and 51.77

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Solution

The fourth proportional to 68.07, 94.02 and 51.77 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.07 : 94.02 = 51.77 : x
  2. Step 2: Convert to fraction form
    68.07/94.02 = 51.77/x
  3. Step 3: Cross multiply
    68.07x = 94.02 × 51.77
  4. Step 4: Simplify right side
    68.07x = 4,866.75
  5. Step 5: Solve for x
    x = 4,866.75/68.07
  6. Step 6: Final answer
    x = 71.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.