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Finding the Fourth Proportional to 205,994.90, 309,192.12 and 99,453.98

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Solution

The fourth proportional to 205,994.90, 309,192.12 and 99,453.98 is: 149,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,994.90 : 309,192.12 = 99,453.98 : x
  2. Step 2: Convert to fraction form
    205,994.90/309,192.12 = 99,453.98/x
  3. Step 3: Cross multiply
    205,994.90x = 309,192.12 × 99,453.98
  4. Step 4: Simplify right side
    205,994.90x = 30,750,386,918.64
  5. Step 5: Solve for x
    x = 30,750,386,918.64/205,994.90
  6. Step 6: Final answer
    x = 149,277.42

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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.