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Finding the Fourth Proportional to 54,705.60, 82,090.80 and 39,877.20

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Solution

The fourth proportional to 54,705.60, 82,090.80 and 39,877.20 is: 59,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,705.60 : 82,090.80 = 39,877.20 : x
  2. Step 2: Convert to fraction form
    54,705.60/82,090.80 = 39,877.20/x
  3. Step 3: Cross multiply
    54,705.60x = 82,090.80 × 39,877.20
  4. Step 4: Simplify right side
    54,705.60x = 3,273,551,249.76
  5. Step 5: Solve for x
    x = 3,273,551,249.76/54,705.60
  6. Step 6: Final answer
    x = 59,839.42

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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.