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Finding the Fourth Proportional to 192,120, 288,181.62 and 67,461

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Solution

The fourth proportional to 192,120, 288,181.62 and 67,461 is: 101,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,120 : 288,181.62 = 67,461 : x
  2. Step 2: Convert to fraction form
    192,120/288,181.62 = 67,461/x
  3. Step 3: Cross multiply
    192,120x = 288,181.62 × 67,461
  4. Step 4: Simplify right side
    192,120x = 19,441,020,266.82
  5. Step 5: Solve for x
    x = 19,441,020,266.82/192,120
  6. Step 6: Final answer
    x = 101,192.07

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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.