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Finding the Fourth Proportional to 99,825.62, 149,659.14 and 49,880.00

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Solution

The fourth proportional to 99,825.62, 149,659.14 and 49,880.00 is: 74,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825.62 : 149,659.14 = 49,880.00 : x
  2. Step 2: Convert to fraction form
    99,825.62/149,659.14 = 49,880.00/x
  3. Step 3: Cross multiply
    99,825.62x = 149,659.14 × 49,880.00
  4. Step 4: Simplify right side
    99,825.62x = 7,464,998,464.40
  5. Step 5: Solve for x
    x = 7,464,998,464.40/99,825.62
  6. Step 6: Final answer
    x = 74,780.39

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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.