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Finding the Fourth Proportional to 147,139, 203,037.78 and 82,593.46

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Solution

The fourth proportional to 147,139, 203,037.78 and 82,593.46 is: 113,971.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,139 : 203,037.78 = 82,593.46 : x
  2. Step 2: Convert to fraction form
    147,139/203,037.78 = 82,593.46/x
  3. Step 3: Cross multiply
    147,139x = 203,037.78 × 82,593.46
  4. Step 4: Simplify right side
    147,139x = 16,769,592,760.92
  5. Step 5: Solve for x
    x = 16,769,592,760.92/147,139
  6. Step 6: Final answer
    x = 113,971.09

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1.5x scale

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.