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Finding the Fourth Proportional to 70,161.62, 105,176.80 and 25,776.46

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Solution

The fourth proportional to 70,161.62, 105,176.80 and 25,776.46 is: 38,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161.62 : 105,176.80 = 25,776.46 : x
  2. Step 2: Convert to fraction form
    70,161.62/105,176.80 = 25,776.46/x
  3. Step 3: Cross multiply
    70,161.62x = 105,176.80 × 25,776.46
  4. Step 4: Simplify right side
    70,161.62x = 2,711,085,578.13
  5. Step 5: Solve for x
    x = 2,711,085,578.13/70,161.62
  6. Step 6: Final answer
    x = 38,640.58

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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.