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Finding the Fourth Proportional to 54,173.60, 81,308.40 and 31,959.20

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Solution

The fourth proportional to 54,173.60, 81,308.40 and 31,959.20 is: 47,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,173.60 : 81,308.40 = 31,959.20 : x
  2. Step 2: Convert to fraction form
    54,173.60/81,308.40 = 31,959.20/x
  3. Step 3: Cross multiply
    54,173.60x = 81,308.40 × 31,959.20
  4. Step 4: Simplify right side
    54,173.60x = 2,598,551,417.28
  5. Step 5: Solve for x
    x = 2,598,551,417.28/54,173.60
  6. Step 6: Final answer
    x = 47,967.12

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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.