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Finding the Fourth Proportional to 203,654.66, 305,409.08 and 70,499.16

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Solution

The fourth proportional to 203,654.66, 305,409.08 and 70,499.16 is: 105,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,654.66 : 305,409.08 = 70,499.16 : x
  2. Step 2: Convert to fraction form
    203,654.66/305,409.08 = 70,499.16/x
  3. Step 3: Cross multiply
    203,654.66x = 305,409.08 × 70,499.16
  4. Step 4: Simplify right side
    203,654.66x = 21,531,083,772.62
  5. Step 5: Solve for x
    x = 21,531,083,772.62/203,654.66
  6. Step 6: Final answer
    x = 105,723.50

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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.