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Finding the Fourth Proportional to 138,289, 190,861.86 and 104,696.68

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Solution

The fourth proportional to 138,289, 190,861.86 and 104,696.68 is: 144,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,289 : 190,861.86 = 104,696.68 : x
  2. Step 2: Convert to fraction form
    138,289/190,861.86 = 104,696.68/x
  3. Step 3: Cross multiply
    138,289x = 190,861.86 × 104,696.68
  4. Step 4: Simplify right side
    138,289x = 19,982,603,080.62
  5. Step 5: Solve for x
    x = 19,982,603,080.62/138,289
  6. Step 6: Final answer
    x = 144,498.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.