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Finding the Fourth Proportional to 169,217.13, 253,826.28 and 42,857.31

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Solution

The fourth proportional to 169,217.13, 253,826.28 and 42,857.31 is: 64,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,217.13 : 253,826.28 = 42,857.31 : x
  2. Step 2: Convert to fraction form
    169,217.13/253,826.28 = 42,857.31/x
  3. Step 3: Cross multiply
    169,217.13x = 253,826.28 × 42,857.31
  4. Step 4: Simplify right side
    169,217.13x = 10,878,311,568.11
  5. Step 5: Solve for x
    x = 10,878,311,568.11/169,217.13
  6. Step 6: Final answer
    x = 64,286.11

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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.