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Finding the Fourth Proportional to 228,502.92, 315,236.31 and 137,807.31

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Solution

The fourth proportional to 228,502.92, 315,236.31 and 137,807.31 is: 190,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,502.92 : 315,236.31 = 137,807.31 : x
  2. Step 2: Convert to fraction form
    228,502.92/315,236.31 = 137,807.31/x
  3. Step 3: Cross multiply
    228,502.92x = 315,236.31 × 137,807.31
  4. Step 4: Simplify right side
    228,502.92x = 43,441,867,895.43
  5. Step 5: Solve for x
    x = 43,441,867,895.43/228,502.92
  6. Step 6: Final answer
    x = 190,115.15

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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.