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Finding the Fourth Proportional to 138,255.80, 207,383.57 and 38,415.94

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Solution

The fourth proportional to 138,255.80, 207,383.57 and 38,415.94 is: 57,623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,255.80 : 207,383.57 = 38,415.94 : x
  2. Step 2: Convert to fraction form
    138,255.80/207,383.57 = 38,415.94/x
  3. Step 3: Cross multiply
    138,255.80x = 207,383.57 × 38,415.94
  4. Step 4: Simplify right side
    138,255.80x = 7,966,834,431.72
  5. Step 5: Solve for x
    x = 7,966,834,431.72/138,255.80
  6. Step 6: Final answer
    x = 57,623.87

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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.