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Finding the Fourth Proportional to 54,947.60, 82,356.60 and 28,638.80

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Solution

The fourth proportional to 54,947.60, 82,356.60 and 28,638.80 is: 42,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,947.60 : 82,356.60 = 28,638.80 : x
  2. Step 2: Convert to fraction form
    54,947.60/82,356.60 = 28,638.80/x
  3. Step 3: Cross multiply
    54,947.60x = 82,356.60 × 28,638.80
  4. Step 4: Simplify right side
    54,947.60x = 2,358,594,196.08
  5. Step 5: Solve for x
    x = 2,358,594,196.08/54,947.60
  6. Step 6: Final answer
    x = 42,924.43

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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.