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Finding the Fourth Proportional to 228,772.92, 315,630.90 and 138,094.50

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Solution

The fourth proportional to 228,772.92, 315,630.90 and 138,094.50 is: 190,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,772.92 : 315,630.90 = 138,094.50 : x
  2. Step 2: Convert to fraction form
    228,772.92/315,630.90 = 138,094.50/x
  3. Step 3: Cross multiply
    228,772.92x = 315,630.90 × 138,094.50
  4. Step 4: Simplify right side
    228,772.92x = 43,586,891,320.05
  5. Step 5: Solve for x
    x = 43,586,891,320.05/228,772.92
  6. Step 6: Final answer
    x = 190,524.70

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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.