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Finding the Fourth Proportional to 113,839.40, 170,759.10 and 54,790.40

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Solution

The fourth proportional to 113,839.40, 170,759.10 and 54,790.40 is: 82,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,839.40 : 170,759.10 = 54,790.40 : x
  2. Step 2: Convert to fraction form
    113,839.40/170,759.10 = 54,790.40/x
  3. Step 3: Cross multiply
    113,839.40x = 170,759.10 × 54,790.40
  4. Step 4: Simplify right side
    113,839.40x = 9,355,959,392.64
  5. Step 5: Solve for x
    x = 9,355,959,392.64/113,839.40
  6. Step 6: Final answer
    x = 82,185.60

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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.