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Finding the Fourth Proportional to 192,807.84, 289,250.82 and 68,236.32

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Solution

The fourth proportional to 192,807.84, 289,250.82 and 68,236.32 is: 102,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.84 : 289,250.82 = 68,236.32 : x
  2. Step 2: Convert to fraction form
    192,807.84/289,250.82 = 68,236.32/x
  3. Step 3: Cross multiply
    192,807.84x = 289,250.82 × 68,236.32
  4. Step 4: Simplify right side
    192,807.84x = 19,737,411,513.78
  5. Step 5: Solve for x
    x = 19,737,411,513.78/192,807.84
  6. Step 6: Final answer
    x = 102,368.30

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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.