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Finding the Fourth Proportional to 138,216.64, 207,243.15 and 53,878.35

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Solution

The fourth proportional to 138,216.64, 207,243.15 and 53,878.35 is: 80,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,216.64 : 207,243.15 = 53,878.35 : x
  2. Step 2: Convert to fraction form
    138,216.64/207,243.15 = 53,878.35/x
  3. Step 3: Cross multiply
    138,216.64x = 207,243.15 × 53,878.35
  4. Step 4: Simplify right side
    138,216.64x = 11,165,918,970.80
  5. Step 5: Solve for x
    x = 11,165,918,970.80/138,216.64
  6. Step 6: Final answer
    x = 80,785.63

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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.