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Finding the Fourth Proportional to 106,672.38, 147,198.34 and 61,338.30

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Solution

The fourth proportional to 106,672.38, 147,198.34 and 61,338.30 is: 84,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,672.38 : 147,198.34 = 61,338.30 : x
  2. Step 2: Convert to fraction form
    106,672.38/147,198.34 = 61,338.30/x
  3. Step 3: Cross multiply
    106,672.38x = 147,198.34 × 61,338.30
  4. Step 4: Simplify right side
    106,672.38x = 9,028,895,938.42
  5. Step 5: Solve for x
    x = 9,028,895,938.42/106,672.38
  6. Step 6: Final answer
    x = 84,641.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.