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Finding the Fourth Proportional to 78,947.60, 109,020.44 and 50,702.49

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Solution

The fourth proportional to 78,947.60, 109,020.44 and 50,702.49 is: 70,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,947.60 : 109,020.44 = 50,702.49 : x
  2. Step 2: Convert to fraction form
    78,947.60/109,020.44 = 50,702.49/x
  3. Step 3: Cross multiply
    78,947.60x = 109,020.44 × 50,702.49
  4. Step 4: Simplify right side
    78,947.60x = 5,527,607,768.90
  5. Step 5: Solve for x
    x = 5,527,607,768.90/78,947.60
  6. Step 6: Final answer
    x = 70,016.16

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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.