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Finding the Fourth Proportional to 99.87, 149.10 and 82.77

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Solution

The fourth proportional to 99.87, 149.10 and 82.77 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.87 : 149.10 = 82.77 : x
  2. Step 2: Convert to fraction form
    99.87/149.10 = 82.77/x
  3. Step 3: Cross multiply
    99.87x = 149.10 × 82.77
  4. Step 4: Simplify right side
    99.87x = 12,341.01
  5. Step 5: Solve for x
    x = 12,341.01/99.87
  6. Step 6: Final answer
    x = 123.57

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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.