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Finding the Fourth Proportional to 253,005.31, 349,135.83 and 156,252.43

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Solution

The fourth proportional to 253,005.31, 349,135.83 and 156,252.43 is: 215,621.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,005.31 : 349,135.83 = 156,252.43 : x
  2. Step 2: Convert to fraction form
    253,005.31/349,135.83 = 156,252.43/x
  3. Step 3: Cross multiply
    253,005.31x = 349,135.83 × 156,252.43
  4. Step 4: Simplify right side
    253,005.31x = 54,553,321,837.57
  5. Step 5: Solve for x
    x = 54,553,321,837.57/253,005.31
  6. Step 6: Final answer
    x = 215,621.25

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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.