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Finding the Fourth Proportional to 109,829.70, 164,744.55 and 91,458.90

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Solution

The fourth proportional to 109,829.70, 164,744.55 and 91,458.90 is: 137,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,829.70 : 164,744.55 = 91,458.90 : x
  2. Step 2: Convert to fraction form
    109,829.70/164,744.55 = 91,458.90/x
  3. Step 3: Cross multiply
    109,829.70x = 164,744.55 × 91,458.90
  4. Step 4: Simplify right side
    109,829.70x = 15,067,355,324.00
  5. Step 5: Solve for x
    x = 15,067,355,324.00/109,829.70
  6. Step 6: Final answer
    x = 137,188.35

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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.