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Finding the Fourth Proportional to 138,290, 190,863.24 and 104,697.68

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Solution

The fourth proportional to 138,290, 190,863.24 and 104,697.68 is: 144,500.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,290 : 190,863.24 = 104,697.68 : x
  2. Step 2: Convert to fraction form
    138,290/190,863.24 = 104,697.68/x
  3. Step 3: Cross multiply
    138,290x = 190,863.24 × 104,697.68
  4. Step 4: Simplify right side
    138,290x = 19,982,938,425.28
  5. Step 5: Solve for x
    x = 19,982,938,425.28/138,290
  6. Step 6: Final answer
    x = 144,500.24

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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.