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Finding the Fourth Proportional to 138,883.63, 208,324.50 and 39,043.21

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Solution

The fourth proportional to 138,883.63, 208,324.50 and 39,043.21 is: 58,564.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,883.63 : 208,324.50 = 39,043.21 : x
  2. Step 2: Convert to fraction form
    138,883.63/208,324.50 = 39,043.21/x
  3. Step 3: Cross multiply
    138,883.63x = 208,324.50 × 39,043.21
  4. Step 4: Simplify right side
    138,883.63x = 8,133,657,201.65
  5. Step 5: Solve for x
    x = 8,133,657,201.65/138,883.63
  6. Step 6: Final answer
    x = 58,564.55

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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.