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Finding the Fourth Proportional to 265,833.79, 398,772.29 and 78,844.75

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Solution

The fourth proportional to 265,833.79, 398,772.29 and 78,844.75 is: 118,273.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,833.79 : 398,772.29 = 78,844.75 : x
  2. Step 2: Convert to fraction form
    265,833.79/398,772.29 = 78,844.75/x
  3. Step 3: Cross multiply
    265,833.79x = 398,772.29 × 78,844.75
  4. Step 4: Simplify right side
    265,833.79x = 31,441,101,511.98
  5. Step 5: Solve for x
    x = 31,441,101,511.98/265,833.79
  6. Step 6: Final answer
    x = 118,273.53

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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.