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Finding the Fourth Proportional to 198,512, 273,946.56 and 109,088

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Solution

The fourth proportional to 198,512, 273,946.56 and 109,088 is: 150,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,512 : 273,946.56 = 109,088 : x
  2. Step 2: Convert to fraction form
    198,512/273,946.56 = 109,088/x
  3. Step 3: Cross multiply
    198,512x = 273,946.56 × 109,088
  4. Step 4: Simplify right side
    198,512x = 29,884,282,337.28
  5. Step 5: Solve for x
    x = 29,884,282,337.28/198,512
  6. Step 6: Final answer
    x = 150,541.44

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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.