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Finding the Fourth Proportional to 203,806.32, 305,569.92 and 103,772.88

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Solution

The fourth proportional to 203,806.32, 305,569.92 and 103,772.88 is: 155,588.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,806.32 : 305,569.92 = 103,772.88 : x
  2. Step 2: Convert to fraction form
    203,806.32/305,569.92 = 103,772.88/x
  3. Step 3: Cross multiply
    203,806.32x = 305,569.92 × 103,772.88
  4. Step 4: Simplify right side
    203,806.32x = 31,709,870,639.77
  5. Step 5: Solve for x
    x = 31,709,870,639.77/203,806.32
  6. Step 6: Final answer
    x = 155,588.26

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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.