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Finding the Fourth Proportional to 99,722.64, 149,554.80 and 82,148.88

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Solution

The fourth proportional to 99,722.64, 149,554.80 and 82,148.88 is: 123,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,722.64 : 149,554.80 = 82,148.88 : x
  2. Step 2: Convert to fraction form
    99,722.64/149,554.80 = 82,148.88/x
  3. Step 3: Cross multiply
    99,722.64x = 149,554.80 × 82,148.88
  4. Step 4: Simplify right side
    99,722.64x = 12,285,759,318.62
  5. Step 5: Solve for x
    x = 12,285,759,318.62/99,722.64
  6. Step 6: Final answer
    x = 123,199.30

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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.