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Finding the Fourth Proportional to 70,138.71, 105,221.79 and 25,765.82

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Solution

The fourth proportional to 70,138.71, 105,221.79 and 25,765.82 is: 38,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.71 : 105,221.79 = 25,765.82 : x
  2. Step 2: Convert to fraction form
    70,138.71/105,221.79 = 25,765.82/x
  3. Step 3: Cross multiply
    70,138.71x = 105,221.79 × 25,765.82
  4. Step 4: Simplify right side
    70,138.71x = 2,711,125,175.11
  5. Step 5: Solve for x
    x = 2,711,125,175.11/70,138.71
  6. Step 6: Final answer
    x = 38,653.76

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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.