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Finding the Fourth Proportional to 247,862.56, 342,022.57 and 140,409.58

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Solution

The fourth proportional to 247,862.56, 342,022.57 and 140,409.58 is: 193,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,862.56 : 342,022.57 = 140,409.58 : x
  2. Step 2: Convert to fraction form
    247,862.56/342,022.57 = 140,409.58/x
  3. Step 3: Cross multiply
    247,862.56x = 342,022.57 × 140,409.58
  4. Step 4: Simplify right side
    247,862.56x = 48,023,245,404.22
  5. Step 5: Solve for x
    x = 48,023,245,404.22/247,862.56
  6. Step 6: Final answer
    x = 193,749.49

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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.