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Finding the Fourth Proportional to 104.87, 145.50 and 99.86

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Solution

The fourth proportional to 104.87, 145.50 and 99.86 is: 138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.87 : 145.50 = 99.86 : x
  2. Step 2: Convert to fraction form
    104.87/145.50 = 99.86/x
  3. Step 3: Cross multiply
    104.87x = 145.50 × 99.86
  4. Step 4: Simplify right side
    104.87x = 14,529.63
  5. Step 5: Solve for x
    x = 14,529.63/104.87
  6. Step 6: Final answer
    x = 138.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.