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Finding the Fourth Proportional to 138,426, 207,673.68 and 39,930

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Solution

The fourth proportional to 138,426, 207,673.68 and 39,930 is: 59,905.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,426 : 207,673.68 = 39,930 : x
  2. Step 2: Convert to fraction form
    138,426/207,673.68 = 39,930/x
  3. Step 3: Cross multiply
    138,426x = 207,673.68 × 39,930
  4. Step 4: Simplify right side
    138,426x = 8,292,410,042.40
  5. Step 5: Solve for x
    x = 8,292,410,042.40/138,426
  6. Step 6: Final answer
    x = 59,905.00

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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.