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Finding the Fourth Proportional to 70,405.69, 105,646.97 and 29,872.95

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Solution

The fourth proportional to 70,405.69, 105,646.97 and 29,872.95 is: 44,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.69 : 105,646.97 = 29,872.95 : x
  2. Step 2: Convert to fraction form
    70,405.69/105,646.97 = 29,872.95/x
  3. Step 3: Cross multiply
    70,405.69x = 105,646.97 × 29,872.95
  4. Step 4: Simplify right side
    70,405.69x = 3,155,986,757.20
  5. Step 5: Solve for x
    x = 3,155,986,757.20/70,405.69
  6. Step 6: Final answer
    x = 44,825.73

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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.