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Finding the Fourth Proportional to 100,808.50, 151,169.07 and 30,671.54

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Solution

The fourth proportional to 100,808.50, 151,169.07 and 30,671.54 is: 45,994.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,808.50 : 151,169.07 = 30,671.54 : x
  2. Step 2: Convert to fraction form
    100,808.50/151,169.07 = 30,671.54/x
  3. Step 3: Cross multiply
    100,808.50x = 151,169.07 × 30,671.54
  4. Step 4: Simplify right side
    100,808.50x = 4,636,588,177.27
  5. Step 5: Solve for x
    x = 4,636,588,177.27/100,808.50
  6. Step 6: Final answer
    x = 45,994.02

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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.