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Finding the Fourth Proportional to 207,956.91, 311,935.29 and 81,656.58

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Solution

The fourth proportional to 207,956.91, 311,935.29 and 81,656.58 is: 122,484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,956.91 : 311,935.29 = 81,656.58 : x
  2. Step 2: Convert to fraction form
    207,956.91/311,935.29 = 81,656.58/x
  3. Step 3: Cross multiply
    207,956.91x = 311,935.29 × 81,656.58
  4. Step 4: Simplify right side
    207,956.91x = 25,471,568,962.71
  5. Step 5: Solve for x
    x = 25,471,568,962.71/207,956.91
  6. Step 6: Final answer
    x = 122,484.84

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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.