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Finding the Fourth Proportional to 247,851.96, 342,029.70 and 138,949.08

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Solution

The fourth proportional to 247,851.96, 342,029.70 and 138,949.08 is: 191,746.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,851.96 : 342,029.70 = 138,949.08 : x
  2. Step 2: Convert to fraction form
    247,851.96/342,029.70 = 138,949.08/x
  3. Step 3: Cross multiply
    247,851.96x = 342,029.70 × 138,949.08
  4. Step 4: Simplify right side
    247,851.96x = 47,524,712,147.68
  5. Step 5: Solve for x
    x = 47,524,712,147.68/247,851.96
  6. Step 6: Final answer
    x = 191,746.36

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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.