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Finding the Fourth Proportional to 75.53, 112.78 and 62.03

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Solution

The fourth proportional to 75.53, 112.78 and 62.03 is: 92.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 112.78 = 62.03 : x
  2. Step 2: Convert to fraction form
    75.53/112.78 = 62.03/x
  3. Step 3: Cross multiply
    75.53x = 112.78 × 62.03
  4. Step 4: Simplify right side
    75.53x = 6,995.74
  5. Step 5: Solve for x
    x = 6,995.74/75.53
  6. Step 6: Final answer
    x = 92.62

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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.