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Finding the Fourth Proportional to 259,541, 358,167.06 and 140,309

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Solution

The fourth proportional to 259,541, 358,167.06 and 140,309 is: 193,626.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,541 : 358,167.06 = 140,309 : x
  2. Step 2: Convert to fraction form
    259,541/358,167.06 = 140,309/x
  3. Step 3: Cross multiply
    259,541x = 358,167.06 × 140,309
  4. Step 4: Simplify right side
    259,541x = 50,254,062,021.54
  5. Step 5: Solve for x
    x = 50,254,062,021.54/259,541
  6. Step 6: Final answer
    x = 193,626.68

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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.