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Finding the Fourth Proportional to 265,772.66, 398,710.31 and 85,906.49

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Solution

The fourth proportional to 265,772.66, 398,710.31 and 85,906.49 is: 128,876.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,772.66 : 398,710.31 = 85,906.49 : x
  2. Step 2: Convert to fraction form
    265,772.66/398,710.31 = 85,906.49/x
  3. Step 3: Cross multiply
    265,772.66x = 398,710.31 × 85,906.49
  4. Step 4: Simplify right side
    265,772.66x = 34,251,800,835.83
  5. Step 5: Solve for x
    x = 34,251,800,835.83/265,772.66
  6. Step 6: Final answer
    x = 128,876.32

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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.