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Finding the Fourth Proportional to 54,561.60, 81,894.60 and 28,285.20

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Solution

The fourth proportional to 54,561.60, 81,894.60 and 28,285.20 is: 42,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,561.60 : 81,894.60 = 28,285.20 : x
  2. Step 2: Convert to fraction form
    54,561.60/81,894.60 = 28,285.20/x
  3. Step 3: Cross multiply
    54,561.60x = 81,894.60 × 28,285.20
  4. Step 4: Simplify right side
    54,561.60x = 2,316,405,139.92
  5. Step 5: Solve for x
    x = 2,316,405,139.92/54,561.60
  6. Step 6: Final answer
    x = 42,454.86

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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.