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Finding the Fourth Proportional to 138,278, 207,417 and 39,782

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Solution

The fourth proportional to 138,278, 207,417 and 39,782 is: 59,673

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,278 : 207,417 = 39,782 : x
  2. Step 2: Convert to fraction form
    138,278/207,417 = 39,782/x
  3. Step 3: Cross multiply
    138,278x = 207,417 × 39,782
  4. Step 4: Simplify right side
    138,278x = 8,251,463,094
  5. Step 5: Solve for x
    x = 8,251,463,094/138,278
  6. Step 6: Final answer
    x = 59,673

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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.