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Finding the Fourth Proportional to 99,698.38, 149,617.71 and 90,169.75

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Solution

The fourth proportional to 99,698.38, 149,617.71 and 90,169.75 is: 135,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,698.38 : 149,617.71 = 90,169.75 : x
  2. Step 2: Convert to fraction form
    99,698.38/149,617.71 = 90,169.75/x
  3. Step 3: Cross multiply
    99,698.38x = 149,617.71 × 90,169.75
  4. Step 4: Simplify right side
    99,698.38x = 13,490,991,506.27
  5. Step 5: Solve for x
    x = 13,490,991,506.27/99,698.38
  6. Step 6: Final answer
    x = 135,318.06

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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.