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Finding the Fourth Proportional to 98,898.92, 148,372.68 and 28,778.84

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Solution

The fourth proportional to 98,898.92, 148,372.68 and 28,778.84 is: 43,175.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,898.92 : 148,372.68 = 28,778.84 : x
  2. Step 2: Convert to fraction form
    98,898.92/148,372.68 = 28,778.84/x
  3. Step 3: Cross multiply
    98,898.92x = 148,372.68 × 28,778.84
  4. Step 4: Simplify right side
    98,898.92x = 4,269,993,618.09
  5. Step 5: Solve for x
    x = 4,269,993,618.09/98,898.92
  6. Step 6: Final answer
    x = 43,175.33

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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.