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Finding the Fourth Proportional to 68,378.32, 102,393.24 and 57,880.72

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Solution

The fourth proportional to 68,378.32, 102,393.24 and 57,880.72 is: 86,673.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,378.32 : 102,393.24 = 57,880.72 : x
  2. Step 2: Convert to fraction form
    68,378.32/102,393.24 = 57,880.72/x
  3. Step 3: Cross multiply
    68,378.32x = 102,393.24 × 57,880.72
  4. Step 4: Simplify right side
    68,378.32x = 5,926,594,454.33
  5. Step 5: Solve for x
    x = 5,926,594,454.33/68,378.32
  6. Step 6: Final answer
    x = 86,673.59

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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.