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Finding the Fourth Proportional to 138,109.63, 207,015.61 and 66,881.47

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Solution

The fourth proportional to 138,109.63, 207,015.61 and 66,881.47 is: 100,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,109.63 : 207,015.61 = 66,881.47 : x
  2. Step 2: Convert to fraction form
    138,109.63/207,015.61 = 66,881.47/x
  3. Step 3: Cross multiply
    138,109.63x = 207,015.61 × 66,881.47
  4. Step 4: Simplify right side
    138,109.63x = 13,845,508,309.75
  5. Step 5: Solve for x
    x = 13,845,508,309.75/138,109.63
  6. Step 6: Final answer
    x = 100,250.13

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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.