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Finding the Fourth Proportional to 138,005.57, 207,008.10 and 43,243.01

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Solution

The fourth proportional to 138,005.57, 207,008.10 and 43,243.01 is: 64,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,005.57 : 207,008.10 = 43,243.01 : x
  2. Step 2: Convert to fraction form
    138,005.57/207,008.10 = 43,243.01/x
  3. Step 3: Cross multiply
    138,005.57x = 207,008.10 × 43,243.01
  4. Step 4: Simplify right side
    138,005.57x = 8,951,653,338.38
  5. Step 5: Solve for x
    x = 8,951,653,338.38/138,005.57
  6. Step 6: Final answer
    x = 64,864.44

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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.