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Finding the Fourth Proportional to 105.87, 157.82 and 99.99

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Solution

The fourth proportional to 105.87, 157.82 and 99.99 is: 149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.87 : 157.82 = 99.99 : x
  2. Step 2: Convert to fraction form
    105.87/157.82 = 99.99/x
  3. Step 3: Cross multiply
    105.87x = 157.82 × 99.99
  4. Step 4: Simplify right side
    105.87x = 15,779.92
  5. Step 5: Solve for x
    x = 15,779.92/105.87
  6. Step 6: Final answer
    x = 149.05

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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.