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Finding the Fourth Proportional to 192,930.39, 289,415.63 and 52,689

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Solution

The fourth proportional to 192,930.39, 289,415.63 and 52,689 is: 79,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,930.39 : 289,415.63 = 52,689 : x
  2. Step 2: Convert to fraction form
    192,930.39/289,415.63 = 52,689/x
  3. Step 3: Cross multiply
    192,930.39x = 289,415.63 × 52,689
  4. Step 4: Simplify right side
    192,930.39x = 15,249,019,865.63
  5. Step 5: Solve for x
    x = 15,249,019,865.63/192,930.39
  6. Step 6: Final answer
    x = 79,038.97

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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.