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Finding the Fourth Proportional to 138,039.94, 207,029.13 and 53,802.37

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Solution

The fourth proportional to 138,039.94, 207,029.13 and 53,802.37 is: 80,691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,039.94 : 207,029.13 = 53,802.37 : x
  2. Step 2: Convert to fraction form
    138,039.94/207,029.13 = 53,802.37/x
  3. Step 3: Cross multiply
    138,039.94x = 207,029.13 × 53,802.37
  4. Step 4: Simplify right side
    138,039.94x = 11,138,657,853.04
  5. Step 5: Solve for x
    x = 11,138,657,853.04/138,039.94
  6. Step 6: Final answer
    x = 80,691.56

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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.