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Finding the Fourth Proportional to 70,201.88, 96,878.19 and 39,988.47

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Solution

The fourth proportional to 70,201.88, 96,878.19 and 39,988.47 is: 55,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,201.88 : 96,878.19 = 39,988.47 : x
  2. Step 2: Convert to fraction form
    70,201.88/96,878.19 = 39,988.47/x
  3. Step 3: Cross multiply
    70,201.88x = 96,878.19 × 39,988.47
  4. Step 4: Simplify right side
    70,201.88x = 3,874,010,594.47
  5. Step 5: Solve for x
    x = 3,874,010,594.47/70,201.88
  6. Step 6: Final answer
    x = 55,183.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.