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Finding the Fourth Proportional to 138,053.34, 207,080.30 and 38,213.82

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Solution

The fourth proportional to 138,053.34, 207,080.30 and 38,213.82 is: 57,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,053.34 : 207,080.30 = 38,213.82 : x
  2. Step 2: Convert to fraction form
    138,053.34/207,080.30 = 38,213.82/x
  3. Step 3: Cross multiply
    138,053.34x = 207,080.30 × 38,213.82
  4. Step 4: Simplify right side
    138,053.34x = 7,913,329,118.68
  5. Step 5: Solve for x
    x = 7,913,329,118.68/138,053.34
  6. Step 6: Final answer
    x = 57,320.81

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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.