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Finding the Fourth Proportional to 147,933, 204,147.54 and 80,865

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Solution

The fourth proportional to 147,933, 204,147.54 and 80,865 is: 111,593.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,933 : 204,147.54 = 80,865 : x
  2. Step 2: Convert to fraction form
    147,933/204,147.54 = 80,865/x
  3. Step 3: Cross multiply
    147,933x = 204,147.54 × 80,865
  4. Step 4: Simplify right side
    147,933x = 16,508,390,822.10
  5. Step 5: Solve for x
    x = 16,508,390,822.10/147,933
  6. Step 6: Final answer
    x = 111,593.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.