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Finding the Fourth Proportional to 195,073.22, 292,668.81 and 138,257

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Solution

The fourth proportional to 195,073.22, 292,668.81 and 138,257 is: 207,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,073.22 : 292,668.81 = 138,257 : x
  2. Step 2: Convert to fraction form
    195,073.22/292,668.81 = 138,257/x
  3. Step 3: Cross multiply
    195,073.22x = 292,668.81 × 138,257
  4. Step 4: Simplify right side
    195,073.22x = 40,463,511,664.17
  5. Step 5: Solve for x
    x = 40,463,511,664.17/195,073.22
  6. Step 6: Final answer
    x = 207,427.30

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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.