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Finding the Fourth Proportional to 70,208.76, 105,327.26 and 25,835.75

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Solution

The fourth proportional to 70,208.76, 105,327.26 and 25,835.75 is: 38,758.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,208.76 : 105,327.26 = 25,835.75 : x
  2. Step 2: Convert to fraction form
    70,208.76/105,327.26 = 25,835.75/x
  3. Step 3: Cross multiply
    70,208.76x = 105,327.26 × 25,835.75
  4. Step 4: Simplify right side
    70,208.76x = 2,721,208,101.73
  5. Step 5: Solve for x
    x = 2,721,208,101.73/70,208.76
  6. Step 6: Final answer
    x = 38,758.81

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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.