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Finding the Fourth Proportional to 138,483.21, 207,759.77 and 38,643.32

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Solution

The fourth proportional to 138,483.21, 207,759.77 and 38,643.32 is: 57,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,483.21 : 207,759.77 = 38,643.32 : x
  2. Step 2: Convert to fraction form
    138,483.21/207,759.77 = 38,643.32/x
  3. Step 3: Cross multiply
    138,483.21x = 207,759.77 × 38,643.32
  4. Step 4: Simplify right side
    138,483.21x = 8,028,526,043.22
  5. Step 5: Solve for x
    x = 8,028,526,043.22/138,483.21
  6. Step 6: Final answer
    x = 57,974.73

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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.