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Finding the Fourth Proportional to 259,305, 357,841.22 and 140,073

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Solution

The fourth proportional to 259,305, 357,841.22 and 140,073 is: 193,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,305 : 357,841.22 = 140,073 : x
  2. Step 2: Convert to fraction form
    259,305/357,841.22 = 140,073/x
  3. Step 3: Cross multiply
    259,305x = 357,841.22 × 140,073
  4. Step 4: Simplify right side
    259,305x = 50,123,893,209.06
  5. Step 5: Solve for x
    x = 50,123,893,209.06/259,305
  6. Step 6: Final answer
    x = 193,300.91

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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.