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Finding the Fourth Proportional to 203,427.66, 305,176.77 and 68,478.90

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Solution

The fourth proportional to 203,427.66, 305,176.77 and 68,478.90 is: 102,730.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427.66 : 305,176.77 = 68,478.90 : x
  2. Step 2: Convert to fraction form
    203,427.66/305,176.77 = 68,478.90/x
  3. Step 3: Cross multiply
    203,427.66x = 305,176.77 × 68,478.90
  4. Step 4: Simplify right side
    203,427.66x = 20,898,169,515.15
  5. Step 5: Solve for x
    x = 20,898,169,515.15/203,427.66
  6. Step 6: Final answer
    x = 102,730.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.