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Finding the Fourth Proportional to 206,037.81, 308,807.17 and 87,460.16

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Solution

The fourth proportional to 206,037.81, 308,807.17 and 87,460.16 is: 131,084.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037.81 : 308,807.17 = 87,460.16 : x
  2. Step 2: Convert to fraction form
    206,037.81/308,807.17 = 87,460.16/x
  3. Step 3: Cross multiply
    206,037.81x = 308,807.17 × 87,460.16
  4. Step 4: Simplify right side
    206,037.81x = 27,008,322,734.66
  5. Step 5: Solve for x
    x = 27,008,322,734.66/206,037.81
  6. Step 6: Final answer
    x = 131,084.30

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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.