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Finding the Fourth Proportional to 204,507.72, 306,346.32 and 103,243.32

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Solution

The fourth proportional to 204,507.72, 306,346.32 and 103,243.32 is: 154,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.72 : 306,346.32 = 103,243.32 : x
  2. Step 2: Convert to fraction form
    204,507.72/306,346.32 = 103,243.32/x
  3. Step 3: Cross multiply
    204,507.72x = 306,346.32 × 103,243.32
  4. Step 4: Simplify right side
    204,507.72x = 31,628,211,146.58
  5. Step 5: Solve for x
    x = 31,628,211,146.58/204,507.72
  6. Step 6: Final answer
    x = 154,655.34

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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.