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Finding the Fourth Proportional to 116,968.70, 175,513.80 and 54,639.20

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Solution

The fourth proportional to 116,968.70, 175,513.80 and 54,639.20 is: 81,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,968.70 : 175,513.80 = 54,639.20 : x
  2. Step 2: Convert to fraction form
    116,968.70/175,513.80 = 54,639.20/x
  3. Step 3: Cross multiply
    116,968.70x = 175,513.80 × 54,639.20
  4. Step 4: Simplify right side
    116,968.70x = 9,589,933,620.96
  5. Step 5: Solve for x
    x = 9,589,933,620.96/116,968.70
  6. Step 6: Final answer
    x = 81,987.18

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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.