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Finding the Fourth Proportional to 69,719.88, 96,214.05 and 37,888.78

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Solution

The fourth proportional to 69,719.88, 96,214.05 and 37,888.78 is: 52,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,719.88 : 96,214.05 = 37,888.78 : x
  2. Step 2: Convert to fraction form
    69,719.88/96,214.05 = 37,888.78/x
  3. Step 3: Cross multiply
    69,719.88x = 96,214.05 × 37,888.78
  4. Step 4: Simplify right side
    69,719.88x = 3,645,432,302.84
  5. Step 5: Solve for x
    x = 3,645,432,302.84/69,719.88
  6. Step 6: Final answer
    x = 52,286.84

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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.