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Finding the Fourth Proportional to 195,731, 293,709.40 and 105,773.92

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Solution

The fourth proportional to 195,731, 293,709.40 and 105,773.92 is: 158,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,731 : 293,709.40 = 105,773.92 : x
  2. Step 2: Convert to fraction form
    195,731/293,709.40 = 105,773.92/x
  3. Step 3: Cross multiply
    195,731x = 293,709.40 × 105,773.92
  4. Step 4: Simplify right side
    195,731x = 31,066,794,578.85
  5. Step 5: Solve for x
    x = 31,066,794,578.85/195,731
  6. Step 6: Final answer
    x = 158,721.89

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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.