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Finding the Fourth Proportional to 138,911.49, 208,379.51 and 39,072.51

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Solution

The fourth proportional to 138,911.49, 208,379.51 and 39,072.51 is: 58,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.49 : 208,379.51 = 39,072.51 : x
  2. Step 2: Convert to fraction form
    138,911.49/208,379.51 = 39,072.51/x
  3. Step 3: Cross multiply
    138,911.49x = 208,379.51 × 39,072.51
  4. Step 4: Simplify right side
    138,911.49x = 8,141,910,292.91
  5. Step 5: Solve for x
    x = 8,141,910,292.91/138,911.49
  6. Step 6: Final answer
    x = 58,612.22

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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.