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Finding the Fourth Proportional to 35,478.92, 53,223.84 and 12,099.90

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Solution

The fourth proportional to 35,478.92, 53,223.84 and 12,099.90 is: 18,151.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,478.92 : 53,223.84 = 12,099.90 : x
  2. Step 2: Convert to fraction form
    35,478.92/53,223.84 = 12,099.90/x
  3. Step 3: Cross multiply
    35,478.92x = 53,223.84 × 12,099.90
  4. Step 4: Simplify right side
    35,478.92x = 644,003,141.62
  5. Step 5: Solve for x
    x = 644,003,141.62/35,478.92
  6. Step 6: Final answer
    x = 18,151.71

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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.