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Finding the Fourth Proportional to 70.12, 105.45 and 49.87

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Solution

The fourth proportional to 70.12, 105.45 and 49.87 is: 75.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.12 : 105.45 = 49.87 : x
  2. Step 2: Convert to fraction form
    70.12/105.45 = 49.87/x
  3. Step 3: Cross multiply
    70.12x = 105.45 × 49.87
  4. Step 4: Simplify right side
    70.12x = 5,258.79
  5. Step 5: Solve for x
    x = 5,258.79/70.12
  6. Step 6: Final answer
    x = 75.00

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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.