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Finding the Fourth Proportional to 70,138.62, 105,233.85 and 25,794.36

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Solution

The fourth proportional to 70,138.62, 105,233.85 and 25,794.36 is: 38,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.62 : 105,233.85 = 25,794.36 : x
  2. Step 2: Convert to fraction form
    70,138.62/105,233.85 = 25,794.36/x
  3. Step 3: Cross multiply
    70,138.62x = 105,233.85 × 25,794.36
  4. Step 4: Simplify right side
    70,138.62x = 2,714,439,811.09
  5. Step 5: Solve for x
    x = 2,714,439,811.09/70,138.62
  6. Step 6: Final answer
    x = 38,701.07

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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.