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Finding the Fourth Proportional to 129,701.32, 194,441.10 and 49,796.68

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Solution

The fourth proportional to 129,701.32, 194,441.10 and 49,796.68 is: 74,652.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,701.32 : 194,441.10 = 49,796.68 : x
  2. Step 2: Convert to fraction form
    129,701.32/194,441.10 = 49,796.68/x
  3. Step 3: Cross multiply
    129,701.32x = 194,441.10 × 49,796.68
  4. Step 4: Simplify right side
    129,701.32x = 9,682,521,235.55
  5. Step 5: Solve for x
    x = 9,682,521,235.55/129,701.32
  6. Step 6: Final answer
    x = 74,652.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.