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Finding the Fourth Proportional to 75.47, 113.84 and 70.61

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Solution

The fourth proportional to 75.47, 113.84 and 70.61 is: 106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.47 : 113.84 = 70.61 : x
  2. Step 2: Convert to fraction form
    75.47/113.84 = 70.61/x
  3. Step 3: Cross multiply
    75.47x = 113.84 × 70.61
  4. Step 4: Simplify right side
    75.47x = 8,037.58
  5. Step 5: Solve for x
    x = 8,037.58/75.47
  6. Step 6: Final answer
    x = 106.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.