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Finding the Fourth Proportional to 192,267.92, 288,435.09 and 85,689.74

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Solution

The fourth proportional to 192,267.92, 288,435.09 and 85,689.74 is: 128,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,267.92 : 288,435.09 = 85,689.74 : x
  2. Step 2: Convert to fraction form
    192,267.92/288,435.09 = 85,689.74/x
  3. Step 3: Cross multiply
    192,267.92x = 288,435.09 × 85,689.74
  4. Step 4: Simplify right side
    192,267.92x = 24,715,927,868.98
  5. Step 5: Solve for x
    x = 24,715,927,868.98/192,267.92
  6. Step 6: Final answer
    x = 128,549.41

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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.