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Finding the Fourth Proportional to 78,947.86, 109,020.78 and 50,702.75

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Solution

The fourth proportional to 78,947.86, 109,020.78 and 50,702.75 is: 70,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,947.86 : 109,020.78 = 50,702.75 : x
  2. Step 2: Convert to fraction form
    78,947.86/109,020.78 = 50,702.75/x
  3. Step 3: Cross multiply
    78,947.86x = 109,020.78 × 50,702.75
  4. Step 4: Simplify right side
    78,947.86x = 5,527,653,353.15
  5. Step 5: Solve for x
    x = 5,527,653,353.15/78,947.86
  6. Step 6: Final answer
    x = 70,016.51

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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.