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Finding the Fourth Proportional to 70,235.48, 105,304 and 25,856.47

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Solution

The fourth proportional to 70,235.48, 105,304 and 25,856.47 is: 38,766.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,235.48 : 105,304 = 25,856.47 : x
  2. Step 2: Convert to fraction form
    70,235.48/105,304 = 25,856.47/x
  3. Step 3: Cross multiply
    70,235.48x = 105,304 × 25,856.47
  4. Step 4: Simplify right side
    70,235.48x = 2,722,789,716.88
  5. Step 5: Solve for x
    x = 2,722,789,716.88/70,235.48
  6. Step 6: Final answer
    x = 38,766.59

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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.