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Finding the Fourth Proportional to 138,482.95, 207,759.39 and 38,643.06

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Solution

The fourth proportional to 138,482.95, 207,759.39 and 38,643.06 is: 57,974.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,482.95 : 207,759.39 = 38,643.06 : x
  2. Step 2: Convert to fraction form
    138,482.95/207,759.39 = 38,643.06/x
  3. Step 3: Cross multiply
    138,482.95x = 207,759.39 × 38,643.06
  4. Step 4: Simplify right side
    138,482.95x = 8,028,458,573.33
  5. Step 5: Solve for x
    x = 8,028,458,573.33/138,482.95
  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.