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Finding the Fourth Proportional to 169,109.31, 253,687.32 and 56,821.65

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Solution

The fourth proportional to 169,109.31, 253,687.32 and 56,821.65 is: 85,240.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,109.31 : 253,687.32 = 56,821.65 : x
  2. Step 2: Convert to fraction form
    169,109.31/253,687.32 = 56,821.65/x
  3. Step 3: Cross multiply
    169,109.31x = 253,687.32 × 56,821.65
  4. Step 4: Simplify right side
    169,109.31x = 14,414,932,106.48
  5. Step 5: Solve for x
    x = 14,414,932,106.48/169,109.31
  6. Step 6: Final answer
    x = 85,240.32

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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.