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Finding the Fourth Proportional to 129,637, 194,449 and 50,765.68

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Solution

The fourth proportional to 129,637, 194,449 and 50,765.68 is: 76,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,637 : 194,449 = 50,765.68 : x
  2. Step 2: Convert to fraction form
    129,637/194,449 = 50,765.68/x
  3. Step 3: Cross multiply
    129,637x = 194,449 × 50,765.68
  4. Step 4: Simplify right side
    129,637x = 9,871,335,710.32
  5. Step 5: Solve for x
    x = 9,871,335,710.32/129,637
  6. Step 6: Final answer
    x = 76,145.97

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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.