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Finding the Fourth Proportional to 75.98, 105 and 61.58

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Solution

The fourth proportional to 75.98, 105 and 61.58 is: 85.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.98 : 105 = 61.58 : x
  2. Step 2: Convert to fraction form
    75.98/105 = 61.58/x
  3. Step 3: Cross multiply
    75.98x = 105 × 61.58
  4. Step 4: Simplify right side
    75.98x = 6,465.90
  5. Step 5: Solve for x
    x = 6,465.90/75.98
  6. Step 6: Final answer
    x = 85.10

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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.