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Finding the Fourth Proportional to 147,850, 204,033.18 and 80,782

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Solution

The fourth proportional to 147,850, 204,033.18 and 80,782 is: 111,479.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,850 : 204,033.18 = 80,782 : x
  2. Step 2: Convert to fraction form
    147,850/204,033.18 = 80,782/x
  3. Step 3: Cross multiply
    147,850x = 204,033.18 × 80,782
  4. Step 4: Simplify right side
    147,850x = 16,482,208,346.76
  5. Step 5: Solve for x
    x = 16,482,208,346.76/147,850
  6. Step 6: Final answer
    x = 111,479.26

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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.