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Finding the Fourth Proportional to 203,866.08, 305,812.80 and 54,104.16

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Solution

The fourth proportional to 203,866.08, 305,812.80 and 54,104.16 is: 81,159.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,866.08 : 305,812.80 = 54,104.16 : x
  2. Step 2: Convert to fraction form
    203,866.08/305,812.80 = 54,104.16/x
  3. Step 3: Cross multiply
    203,866.08x = 305,812.80 × 54,104.16
  4. Step 4: Simplify right side
    203,866.08x = 16,545,744,661.25
  5. Step 5: Solve for x
    x = 16,545,744,661.25/203,866.08
  6. Step 6: Final answer
    x = 81,159.87

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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.