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Finding the Fourth Proportional to 70,481.91, 105,696.51 and 28,347.78

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Solution

The fourth proportional to 70,481.91, 105,696.51 and 28,347.78 is: 42,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,481.91 : 105,696.51 = 28,347.78 : x
  2. Step 2: Convert to fraction form
    70,481.91/105,696.51 = 28,347.78/x
  3. Step 3: Cross multiply
    70,481.91x = 105,696.51 × 28,347.78
  4. Step 4: Simplify right side
    70,481.91x = 2,996,261,412.25
  5. Step 5: Solve for x
    x = 2,996,261,412.25/70,481.91
  6. Step 6: Final answer
    x = 42,511.07

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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.