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Finding the Fourth Proportional to 90,783, 125,280.54 and 51,039

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Solution

The fourth proportional to 90,783, 125,280.54 and 51,039 is: 70,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,783 : 125,280.54 = 51,039 : x
  2. Step 2: Convert to fraction form
    90,783/125,280.54 = 51,039/x
  3. Step 3: Cross multiply
    90,783x = 125,280.54 × 51,039
  4. Step 4: Simplify right side
    90,783x = 6,394,193,481.06
  5. Step 5: Solve for x
    x = 6,394,193,481.06/90,783
  6. Step 6: Final answer
    x = 70,433.82

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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.