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Finding the Fourth Proportional to 54,109.80, 81,164.70 and 35,447.40

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Solution

The fourth proportional to 54,109.80, 81,164.70 and 35,447.40 is: 53,171.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,109.80 : 81,164.70 = 35,447.40 : x
  2. Step 2: Convert to fraction form
    54,109.80/81,164.70 = 35,447.40/x
  3. Step 3: Cross multiply
    54,109.80x = 81,164.70 × 35,447.40
  4. Step 4: Simplify right side
    54,109.80x = 2,877,077,586.78
  5. Step 5: Solve for x
    x = 2,877,077,586.78/54,109.80
  6. Step 6: Final answer
    x = 53,171.10

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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.