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Finding the Fourth Proportional to 99,590.85, 149,412.87 and 43,435.49

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Solution

The fourth proportional to 99,590.85, 149,412.87 and 43,435.49 is: 65,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,590.85 : 149,412.87 = 43,435.49 : x
  2. Step 2: Convert to fraction form
    99,590.85/149,412.87 = 43,435.49/x
  3. Step 3: Cross multiply
    99,590.85x = 149,412.87 × 43,435.49
  4. Step 4: Simplify right side
    99,590.85x = 6,489,820,473.69
  5. Step 5: Solve for x
    x = 6,489,820,473.69/99,590.85
  6. Step 6: Final answer
    x = 65,164.83

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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.