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Finding the Fourth Proportional to 285,131.56, 427,692.86 and 98,144.68

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Solution

The fourth proportional to 285,131.56, 427,692.86 and 98,144.68 is: 147,215.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,131.56 : 427,692.86 = 98,144.68 : x
  2. Step 2: Convert to fraction form
    285,131.56/427,692.86 = 98,144.68/x
  3. Step 3: Cross multiply
    285,131.56x = 427,692.86 × 98,144.68
  4. Step 4: Simplify right side
    285,131.56x = 41,975,778,882.98
  5. Step 5: Solve for x
    x = 41,975,778,882.98/285,131.56
  6. Step 6: Final answer
    x = 147,215.48

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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.