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Finding the Fourth Proportional to 102,198.98, 153,317.01 and 42,227.57

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Solution

The fourth proportional to 102,198.98, 153,317.01 and 42,227.57 is: 63,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,198.98 : 153,317.01 = 42,227.57 : x
  2. Step 2: Convert to fraction form
    102,198.98/153,317.01 = 42,227.57/x
  3. Step 3: Cross multiply
    102,198.98x = 153,317.01 × 42,227.57
  4. Step 4: Simplify right side
    102,198.98x = 6,474,204,771.97
  5. Step 5: Solve for x
    x = 6,474,204,771.97/102,198.98
  6. Step 6: Final answer
    x = 63,349.02

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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.