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Finding the Fourth Proportional to 138,282, 207,423 and 39,786

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Solution

The fourth proportional to 138,282, 207,423 and 39,786 is: 59,679

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,282 : 207,423 = 39,786 : x
  2. Step 2: Convert to fraction form
    138,282/207,423 = 39,786/x
  3. Step 3: Cross multiply
    138,282x = 207,423 × 39,786
  4. Step 4: Simplify right side
    138,282x = 8,252,531,478
  5. Step 5: Solve for x
    x = 8,252,531,478/138,282
  6. Step 6: Final answer
    x = 59,679

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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.