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Finding the Fourth Proportional to 192,139.85, 288,209.16 and 51,898.48

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Solution

The fourth proportional to 192,139.85, 288,209.16 and 51,898.48 is: 77,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,139.85 : 288,209.16 = 51,898.48 : x
  2. Step 2: Convert to fraction form
    192,139.85/288,209.16 = 51,898.48/x
  3. Step 3: Cross multiply
    192,139.85x = 288,209.16 × 51,898.48
  4. Step 4: Simplify right side
    192,139.85x = 14,957,617,326.08
  5. Step 5: Solve for x
    x = 14,957,617,326.08/192,139.85
  6. Step 6: Final answer
    x = 77,847.55

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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.