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Finding the Fourth Proportional to 228,639.96, 342,844.52 and 133,900.34

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Solution

The fourth proportional to 228,639.96, 342,844.52 and 133,900.34 is: 200,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,639.96 : 342,844.52 = 133,900.34 : x
  2. Step 2: Convert to fraction form
    228,639.96/342,844.52 = 133,900.34/x
  3. Step 3: Cross multiply
    228,639.96x = 342,844.52 × 133,900.34
  4. Step 4: Simplify right side
    228,639.96x = 45,906,995,411.41
  5. Step 5: Solve for x
    x = 45,906,995,411.41/228,639.96
  6. Step 6: Final answer
    x = 200,782.91

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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.