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Finding the Fourth Proportional to 265,874.54, 398,989.06 and 137,908.78

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Solution

The fourth proportional to 265,874.54, 398,989.06 and 137,908.78 is: 206,955.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,874.54 : 398,989.06 = 137,908.78 : x
  2. Step 2: Convert to fraction form
    265,874.54/398,989.06 = 137,908.78/x
  3. Step 3: Cross multiply
    265,874.54x = 398,989.06 × 137,908.78
  4. Step 4: Simplify right side
    265,874.54x = 55,024,093,155.70
  5. Step 5: Solve for x
    x = 55,024,093,155.70/265,874.54
  6. Step 6: Final answer
    x = 206,955.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.