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Finding the Fourth Proportional to 75.78, 112.75 and 71.46

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Solution

The fourth proportional to 75.78, 112.75 and 71.46 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 112.75 = 71.46 : x
  2. Step 2: Convert to fraction form
    75.78/112.75 = 71.46/x
  3. Step 3: Cross multiply
    75.78x = 112.75 × 71.46
  4. Step 4: Simplify right side
    75.78x = 8,056.94
  5. Step 5: Solve for x
    x = 8,056.94/75.78
  6. Step 6: Final answer
    x = 106.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.