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Finding the Fourth Proportional to 138,158.52, 207,237.78 and 55,053.24

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Solution

The fourth proportional to 138,158.52, 207,237.78 and 55,053.24 is: 82,579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.52 : 207,237.78 = 55,053.24 : x
  2. Step 2: Convert to fraction form
    138,158.52/207,237.78 = 55,053.24/x
  3. Step 3: Cross multiply
    138,158.52x = 207,237.78 × 55,053.24
  4. Step 4: Simplify right side
    138,158.52x = 11,409,111,239.41
  5. Step 5: Solve for x
    x = 11,409,111,239.41/138,158.52
  6. Step 6: Final answer
    x = 82,579.86

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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.