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Finding the Fourth Proportional to 54,405.60, 81,543.60 and 22,815.60

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Solution

The fourth proportional to 54,405.60, 81,543.60 and 22,815.60 is: 34,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405.60 : 81,543.60 = 22,815.60 : x
  2. Step 2: Convert to fraction form
    54,405.60/81,543.60 = 22,815.60/x
  3. Step 3: Cross multiply
    54,405.60x = 81,543.60 × 22,815.60
  4. Step 4: Simplify right side
    54,405.60x = 1,860,466,160.16
  5. Step 5: Solve for x
    x = 1,860,466,160.16/54,405.60
  6. Step 6: Final answer
    x = 34,196.23

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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.