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Finding the Fourth Proportional to 36,153.31, 49,866 and 31,108.85

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Solution

The fourth proportional to 36,153.31, 49,866 and 31,108.85 is: 42,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,153.31 : 49,866 = 31,108.85 : x
  2. Step 2: Convert to fraction form
    36,153.31/49,866 = 31,108.85/x
  3. Step 3: Cross multiply
    36,153.31x = 49,866 × 31,108.85
  4. Step 4: Simplify right side
    36,153.31x = 1,551,273,914.10
  5. Step 5: Solve for x
    x = 1,551,273,914.10/36,153.31
  6. Step 6: Final answer
    x = 42,908.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.