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Finding the Fourth Proportional to 203,696.64, 305,433.90 and 70,565.76

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Solution

The fourth proportional to 203,696.64, 305,433.90 and 70,565.76 is: 105,810.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,696.64 : 305,433.90 = 70,565.76 : x
  2. Step 2: Convert to fraction form
    203,696.64/305,433.90 = 70,565.76/x
  3. Step 3: Cross multiply
    203,696.64x = 305,433.90 × 70,565.76
  4. Step 4: Simplify right side
    203,696.64x = 21,553,175,283.26
  5. Step 5: Solve for x
    x = 21,553,175,283.26/203,696.64
  6. Step 6: Final answer
    x = 105,810.17

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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.