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Finding the Fourth Proportional to 203,108.64, 279,996.12 and 142,491.48

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Solution

The fourth proportional to 203,108.64, 279,996.12 and 142,491.48 is: 196,432.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,108.64 : 279,996.12 = 142,491.48 : x
  2. Step 2: Convert to fraction form
    203,108.64/279,996.12 = 142,491.48/x
  3. Step 3: Cross multiply
    203,108.64x = 279,996.12 × 142,491.48
  4. Step 4: Simplify right side
    203,108.64x = 39,897,061,533.06
  5. Step 5: Solve for x
    x = 39,897,061,533.06/203,108.64
  6. Step 6: Final answer
    x = 196,432.12

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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.