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Finding the Fourth Proportional to 147,993, 204,235.20 and 80,925

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Solution

The fourth proportional to 147,993, 204,235.20 and 80,925 is: 111,679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,993 : 204,235.20 = 80,925 : x
  2. Step 2: Convert to fraction form
    147,993/204,235.20 = 80,925/x
  3. Step 3: Cross multiply
    147,993x = 204,235.20 × 80,925
  4. Step 4: Simplify right side
    147,993x = 16,527,733,560
  5. Step 5: Solve for x
    x = 16,527,733,560/147,993
  6. Step 6: Final answer
    x = 111,679.16

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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.