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Finding the Fourth Proportional to 100,217.98, 150,196.41 and 55,842.94

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Solution

The fourth proportional to 100,217.98, 150,196.41 and 55,842.94 is: 83,691.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.98 : 150,196.41 = 55,842.94 : x
  2. Step 2: Convert to fraction form
    100,217.98/150,196.41 = 55,842.94/x
  3. Step 3: Cross multiply
    100,217.98x = 150,196.41 × 55,842.94
  4. Step 4: Simplify right side
    100,217.98x = 8,387,409,111.85
  5. Step 5: Solve for x
    x = 8,387,409,111.85/100,217.98
  6. Step 6: Final answer
    x = 83,691.66

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1.5x scale

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.