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Finding the Fourth Proportional to 99,421.44, 137,198.88 and 54,709.44

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Solution

The fourth proportional to 99,421.44, 137,198.88 and 54,709.44 is: 75,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421.44 : 137,198.88 = 54,709.44 : x
  2. Step 2: Convert to fraction form
    99,421.44/137,198.88 = 54,709.44/x
  3. Step 3: Cross multiply
    99,421.44x = 137,198.88 × 54,709.44
  4. Step 4: Simplify right side
    99,421.44x = 7,506,073,893.43
  5. Step 5: Solve for x
    x = 7,506,073,893.43/99,421.44
  6. Step 6: Final answer
    x = 75,497.54

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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.