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Finding the Fourth Proportional to 138,052.34, 207,078.79 and 38,212.82

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Solution

The fourth proportional to 138,052.34, 207,078.79 and 38,212.82 is: 57,319.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,052.34 : 207,078.79 = 38,212.82 : x
  2. Step 2: Convert to fraction form
    138,052.34/207,078.79 = 38,212.82/x
  3. Step 3: Cross multiply
    138,052.34x = 207,078.79 × 38,212.82
  4. Step 4: Simplify right side
    138,052.34x = 7,913,063,492.69
  5. Step 5: Solve for x
    x = 7,913,063,492.69/138,052.34
  6. Step 6: Final answer
    x = 57,319.30

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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.