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Finding the Fourth Proportional to 75.12, 111.78 and 70.02

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Solution

The fourth proportional to 75.12, 111.78 and 70.02 is: 104.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 111.78 = 70.02 : x
  2. Step 2: Convert to fraction form
    75.12/111.78 = 70.02/x
  3. Step 3: Cross multiply
    75.12x = 111.78 × 70.02
  4. Step 4: Simplify right side
    75.12x = 7,826.84
  5. Step 5: Solve for x
    x = 7,826.84/75.12
  6. Step 6: Final answer
    x = 104.19

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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.