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Finding the Fourth Proportional to 192,702.72, 289,497.12 and 136,681.44

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Solution

The fourth proportional to 192,702.72, 289,497.12 and 136,681.44 is: 205,336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,702.72 : 289,497.12 = 136,681.44 : x
  2. Step 2: Convert to fraction form
    192,702.72/289,497.12 = 136,681.44/x
  3. Step 3: Cross multiply
    192,702.72x = 289,497.12 × 136,681.44
  4. Step 4: Simplify right side
    192,702.72x = 39,568,883,237.45
  5. Step 5: Solve for x
    x = 39,568,883,237.45/192,702.72
  6. Step 6: Final answer
    x = 205,336.40

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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.