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Finding the Fourth Proportional to 247,772.64, 341,929.92 and 140,340

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Solution

The fourth proportional to 247,772.64, 341,929.92 and 140,340 is: 193,671.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,772.64 : 341,929.92 = 140,340 : x
  2. Step 2: Convert to fraction form
    247,772.64/341,929.92 = 140,340/x
  3. Step 3: Cross multiply
    247,772.64x = 341,929.92 × 140,340
  4. Step 4: Simplify right side
    247,772.64x = 47,986,444,972.80
  5. Step 5: Solve for x
    x = 47,986,444,972.80/247,772.64
  6. Step 6: Final answer
    x = 193,671.28

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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.