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Finding the Fourth Proportional to 75.78, 104.68 and 53.90

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Solution

The fourth proportional to 75.78, 104.68 and 53.90 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.78 : 104.68 = 53.90 : x
  2. Step 2: Convert to fraction form
    75.78/104.68 = 53.90/x
  3. Step 3: Cross multiply
    75.78x = 104.68 × 53.90
  4. Step 4: Simplify right side
    75.78x = 5,642.25
  5. Step 5: Solve for x
    x = 5,642.25/75.78
  6. Step 6: Final answer
    x = 74.46

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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.