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Finding the Fourth Proportional to 138,482.96, 207,759.39 and 38,643.07

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Solution

The fourth proportional to 138,482.96, 207,759.39 and 38,643.07 is: 57,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,482.96 : 207,759.39 = 38,643.07 : x
  2. Step 2: Convert to fraction form
    138,482.96/207,759.39 = 38,643.07/x
  3. Step 3: Cross multiply
    138,482.96x = 207,759.39 × 38,643.07
  4. Step 4: Simplify right side
    138,482.96x = 8,028,459,418.92
  5. Step 5: Solve for x
    x = 8,028,459,418.92/138,482.96
  6. Step 6: Final answer
    x = 57,974.35

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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.