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Finding the Fourth Proportional to 178,947.28, 246,947.16 and 98,380

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Solution

The fourth proportional to 178,947.28, 246,947.16 and 98,380 is: 135,764.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,947.28 : 246,947.16 = 98,380 : x
  2. Step 2: Convert to fraction form
    178,947.28/246,947.16 = 98,380/x
  3. Step 3: Cross multiply
    178,947.28x = 246,947.16 × 98,380
  4. Step 4: Simplify right side
    178,947.28x = 24,294,661,600.80
  5. Step 5: Solve for x
    x = 24,294,661,600.80/178,947.28
  6. Step 6: Final answer
    x = 135,764.35

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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.