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Finding the Fourth Proportional to 247,877.78, 342,133.55 and 140,511.87

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Solution

The fourth proportional to 247,877.78, 342,133.55 and 140,511.87 is: 193,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,877.78 : 342,133.55 = 140,511.87 : x
  2. Step 2: Convert to fraction form
    247,877.78/342,133.55 = 140,511.87/x
  3. Step 3: Cross multiply
    247,877.78x = 342,133.55 × 140,511.87
  4. Step 4: Simplify right side
    247,877.78x = 48,073,824,197.68
  5. Step 5: Solve for x
    x = 48,073,824,197.68/247,877.78
  6. Step 6: Final answer
    x = 193,941.65

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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.