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Finding the Fourth Proportional to 147,840, 204,019.20 and 80,772.48

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Solution

The fourth proportional to 147,840, 204,019.20 and 80,772.48 is: 111,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,840 : 204,019.20 = 80,772.48 : x
  2. Step 2: Convert to fraction form
    147,840/204,019.20 = 80,772.48/x
  3. Step 3: Cross multiply
    147,840x = 204,019.20 × 80,772.48
  4. Step 4: Simplify right side
    147,840x = 16,479,136,751.62
  5. Step 5: Solve for x
    x = 16,479,136,751.62/147,840
  6. Step 6: Final answer
    x = 111,466.02

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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.