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Finding the Fourth Proportional to 245,721.31, 339,106.31 and 138,298.30

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Solution

The fourth proportional to 245,721.31, 339,106.31 and 138,298.30 is: 190,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,721.31 : 339,106.31 = 138,298.30 : x
  2. Step 2: Convert to fraction form
    245,721.31/339,106.31 = 138,298.30/x
  3. Step 3: Cross multiply
    245,721.31x = 339,106.31 × 138,298.30
  4. Step 4: Simplify right side
    245,721.31x = 46,897,823,805.25
  5. Step 5: Solve for x
    x = 46,897,823,805.25/245,721.31
  6. Step 6: Final answer
    x = 190,857.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.