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Finding the Fourth Proportional to 195,387, 293,092.92 and 55,156.56

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Solution

The fourth proportional to 195,387, 293,092.92 and 55,156.56 is: 82,738.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,387 : 293,092.92 = 55,156.56 : x
  2. Step 2: Convert to fraction form
    195,387/293,092.92 = 55,156.56/x
  3. Step 3: Cross multiply
    195,387x = 293,092.92 × 55,156.56
  4. Step 4: Simplify right side
    195,387x = 16,165,997,227.56
  5. Step 5: Solve for x
    x = 16,165,997,227.56/195,387
  6. Step 6: Final answer
    x = 82,738.35

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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.