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Finding the Fourth Proportional to 228,954.87, 315,901.35 and 137,104.32

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Solution

The fourth proportional to 228,954.87, 315,901.35 and 137,104.32 is: 189,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,954.87 : 315,901.35 = 137,104.32 : x
  2. Step 2: Convert to fraction form
    228,954.87/315,901.35 = 137,104.32/x
  3. Step 3: Cross multiply
    228,954.87x = 315,901.35 × 137,104.32
  4. Step 4: Simplify right side
    228,954.87x = 43,311,439,778.83
  5. Step 5: Solve for x
    x = 43,311,439,778.83/228,954.87
  6. Step 6: Final answer
    x = 189,170.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.