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Finding the Fourth Proportional to 105,731, 158,596.50 and 31,859

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Solution

The fourth proportional to 105,731, 158,596.50 and 31,859 is: 47,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,731 : 158,596.50 = 31,859 : x
  2. Step 2: Convert to fraction form
    105,731/158,596.50 = 31,859/x
  3. Step 3: Cross multiply
    105,731x = 158,596.50 × 31,859
  4. Step 4: Simplify right side
    105,731x = 5,052,725,893.50
  5. Step 5: Solve for x
    x = 5,052,725,893.50/105,731
  6. Step 6: Final answer
    x = 47,788.50

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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.