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Finding the Fourth Proportional to 54,281.60, 81,422.40 and 48,838.40

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Solution

The fourth proportional to 54,281.60, 81,422.40 and 48,838.40 is: 73,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,281.60 : 81,422.40 = 48,838.40 : x
  2. Step 2: Convert to fraction form
    54,281.60/81,422.40 = 48,838.40/x
  3. Step 3: Cross multiply
    54,281.60x = 81,422.40 × 48,838.40
  4. Step 4: Simplify right side
    54,281.60x = 3,976,539,740.16
  5. Step 5: Solve for x
    x = 3,976,539,740.16/54,281.60
  6. Step 6: Final answer
    x = 73,257.60

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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.