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Finding the Fourth Proportional to 75.15, 112.79 and 48.01

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Solution

The fourth proportional to 75.15, 112.79 and 48.01 is: 72.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.15 : 112.79 = 48.01 : x
  2. Step 2: Convert to fraction form
    75.15/112.79 = 48.01/x
  3. Step 3: Cross multiply
    75.15x = 112.79 × 48.01
  4. Step 4: Simplify right side
    75.15x = 5,415.05
  5. Step 5: Solve for x
    x = 5,415.05/75.15
  6. Step 6: Final answer
    x = 72.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.