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Finding the Fourth Proportional to 147,628.58, 203,719.92 and 83,965

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Solution

The fourth proportional to 147,628.58, 203,719.92 and 83,965 is: 115,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,628.58 : 203,719.92 = 83,965 : x
  2. Step 2: Convert to fraction form
    147,628.58/203,719.92 = 83,965/x
  3. Step 3: Cross multiply
    147,628.58x = 203,719.92 × 83,965
  4. Step 4: Simplify right side
    147,628.58x = 17,105,343,082.80
  5. Step 5: Solve for x
    x = 17,105,343,082.80/147,628.58
  6. Step 6: Final answer
    x = 115,867.42

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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.