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Finding the Fourth Proportional to 70,381.28, 105,497.40 and 32,909.88

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Solution

The fourth proportional to 70,381.28, 105,497.40 and 32,909.88 is: 49,329.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,381.28 : 105,497.40 = 32,909.88 : x
  2. Step 2: Convert to fraction form
    70,381.28/105,497.40 = 32,909.88/x
  3. Step 3: Cross multiply
    70,381.28x = 105,497.40 × 32,909.88
  4. Step 4: Simplify right side
    70,381.28x = 3,471,906,774.31
  5. Step 5: Solve for x
    x = 3,471,906,774.31/70,381.28
  6. Step 6: Final answer
    x = 49,329.97

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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.