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Finding the Fourth Proportional to 138,365.96, 207,632.94 and 55,253

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Solution

The fourth proportional to 138,365.96, 207,632.94 and 55,253 is: 82,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,365.96 : 207,632.94 = 55,253 : x
  2. Step 2: Convert to fraction form
    138,365.96/207,632.94 = 55,253/x
  3. Step 3: Cross multiply
    138,365.96x = 207,632.94 × 55,253
  4. Step 4: Simplify right side
    138,365.96x = 11,472,342,833.82
  5. Step 5: Solve for x
    x = 11,472,342,833.82/138,365.96
  6. Step 6: Final answer
    x = 82,913.04

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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.