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Finding the Fourth Proportional to 285,098.92, 427,743.34 and 95,578

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Solution

The fourth proportional to 285,098.92, 427,743.34 and 95,578 is: 143,398.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,098.92 : 427,743.34 = 95,578 : x
  2. Step 2: Convert to fraction form
    285,098.92/427,743.34 = 95,578/x
  3. Step 3: Cross multiply
    285,098.92x = 427,743.34 × 95,578
  4. Step 4: Simplify right side
    285,098.92x = 40,882,852,950.52
  5. Step 5: Solve for x
    x = 40,882,852,950.52/285,098.92
  6. Step 6: Final answer
    x = 143,398.83

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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.