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Finding the Fourth Proportional to 90,609.67, 135,821.49 and 31,412.98

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Solution

The fourth proportional to 90,609.67, 135,821.49 and 31,412.98 is: 47,087.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,609.67 : 135,821.49 = 31,412.98 : x
  2. Step 2: Convert to fraction form
    90,609.67/135,821.49 = 31,412.98/x
  3. Step 3: Cross multiply
    90,609.67x = 135,821.49 × 31,412.98
  4. Step 4: Simplify right side
    90,609.67x = 4,266,557,748.94
  5. Step 5: Solve for x
    x = 4,266,557,748.94/90,609.67
  6. Step 6: Final answer
    x = 47,087.22

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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.