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Finding the Fourth Proportional to 207,957.40, 311,935.09 and 81,508.30

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Solution

The fourth proportional to 207,957.40, 311,935.09 and 81,508.30 is: 122,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.40 : 311,935.09 = 81,508.30 : x
  2. Step 2: Convert to fraction form
    207,957.40/311,935.09 = 81,508.30/x
  3. Step 3: Cross multiply
    207,957.40x = 311,935.09 × 81,508.30
  4. Step 4: Simplify right side
    207,957.40x = 25,425,298,488.71
  5. Step 5: Solve for x
    x = 25,425,298,488.71/207,957.40
  6. Step 6: Final answer
    x = 122,262.05

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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.