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Finding the Fourth Proportional to 101,997.10, 152,995.77 and 31,876.78

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Solution

The fourth proportional to 101,997.10, 152,995.77 and 31,876.78 is: 47,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,997.10 : 152,995.77 = 31,876.78 : x
  2. Step 2: Convert to fraction form
    101,997.10/152,995.77 = 31,876.78/x
  3. Step 3: Cross multiply
    101,997.10x = 152,995.77 × 31,876.78
  4. Step 4: Simplify right side
    101,997.10x = 4,877,012,501.22
  5. Step 5: Solve for x
    x = 4,877,012,501.22/101,997.10
  6. Step 6: Final answer
    x = 47,815.21

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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.