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Finding the Fourth Proportional to 138,099.78, 207,176.40 and 53,856.54

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Solution

The fourth proportional to 138,099.78, 207,176.40 and 53,856.54 is: 80,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,099.78 : 207,176.40 = 53,856.54 : x
  2. Step 2: Convert to fraction form
    138,099.78/207,176.40 = 53,856.54/x
  3. Step 3: Cross multiply
    138,099.78x = 207,176.40 × 53,856.54
  4. Step 4: Simplify right side
    138,099.78x = 11,157,804,073.66
  5. Step 5: Solve for x
    x = 11,157,804,073.66/138,099.78
  6. Step 6: Final answer
    x = 80,795.23

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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.