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Finding the Fourth Proportional to 138,277, 207,415.50 and 39,781

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Solution

The fourth proportional to 138,277, 207,415.50 and 39,781 is: 59,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,277 : 207,415.50 = 39,781 : x
  2. Step 2: Convert to fraction form
    138,277/207,415.50 = 39,781/x
  3. Step 3: Cross multiply
    138,277x = 207,415.50 × 39,781
  4. Step 4: Simplify right side
    138,277x = 8,251,196,005.50
  5. Step 5: Solve for x
    x = 8,251,196,005.50/138,277
  6. Step 6: Final answer
    x = 59,671.50

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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.