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Finding the Fourth Proportional to 138,428, 207,676.68 and 39,932

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Solution

The fourth proportional to 138,428, 207,676.68 and 39,932 is: 59,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,428 : 207,676.68 = 39,932 : x
  2. Step 2: Convert to fraction form
    138,428/207,676.68 = 39,932/x
  3. Step 3: Cross multiply
    138,428x = 207,676.68 × 39,932
  4. Step 4: Simplify right side
    138,428x = 8,292,945,185.76
  5. Step 5: Solve for x
    x = 8,292,945,185.76/138,428
  6. Step 6: Final answer
    x = 59,908.00

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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.