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Finding the Fourth Proportional to 138,694, 208,075.56 and 40,198

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Solution

The fourth proportional to 138,694, 208,075.56 and 40,198 is: 60,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,694 : 208,075.56 = 40,198 : x
  2. Step 2: Convert to fraction form
    138,694/208,075.56 = 40,198/x
  3. Step 3: Cross multiply
    138,694x = 208,075.56 × 40,198
  4. Step 4: Simplify right side
    138,694x = 8,364,221,360.88
  5. Step 5: Solve for x
    x = 8,364,221,360.88/138,694
  6. Step 6: Final answer
    x = 60,307.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.