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Finding the Fourth Proportional to 70,281.84, 105,406.20 and 25,884.48

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Solution

The fourth proportional to 70,281.84, 105,406.20 and 25,884.48 is: 38,820.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,281.84 : 105,406.20 = 25,884.48 : x
  2. Step 2: Convert to fraction form
    70,281.84/105,406.20 = 25,884.48/x
  3. Step 3: Cross multiply
    70,281.84x = 105,406.20 × 25,884.48
  4. Step 4: Simplify right side
    70,281.84x = 2,728,384,675.78
  5. Step 5: Solve for x
    x = 2,728,384,675.78/70,281.84
  6. Step 6: Final answer
    x = 38,820.62

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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.