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Finding the Fourth Proportional to 138,238.08, 207,233.64 and 53,978.64

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Solution

The fourth proportional to 138,238.08, 207,233.64 and 53,978.64 is: 80,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,238.08 : 207,233.64 = 53,978.64 : x
  2. Step 2: Convert to fraction form
    138,238.08/207,233.64 = 53,978.64/x
  3. Step 3: Cross multiply
    138,238.08x = 207,233.64 × 53,978.64
  4. Step 4: Simplify right side
    138,238.08x = 11,186,190,049.45
  5. Step 5: Solve for x
    x = 11,186,190,049.45/138,238.08
  6. Step 6: Final answer
    x = 80,919.74

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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.