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Finding the Fourth Proportional to 54,241.74, 81,420.12 and 48,042

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Solution

The fourth proportional to 54,241.74, 81,420.12 and 48,042 is: 72,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,241.74 : 81,420.12 = 48,042 : x
  2. Step 2: Convert to fraction form
    54,241.74/81,420.12 = 48,042/x
  3. Step 3: Cross multiply
    54,241.74x = 81,420.12 × 48,042
  4. Step 4: Simplify right side
    54,241.74x = 3,911,585,405.04
  5. Step 5: Solve for x
    x = 3,911,585,405.04/54,241.74
  6. Step 6: Final answer
    x = 72,113.94

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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.