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Finding the Fourth Proportional to 253,557.25, 349,907.73 and 138,833.81

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Solution

The fourth proportional to 253,557.25, 349,907.73 and 138,833.81 is: 191,589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,557.25 : 349,907.73 = 138,833.81 : x
  2. Step 2: Convert to fraction form
    253,557.25/349,907.73 = 138,833.81/x
  3. Step 3: Cross multiply
    253,557.25x = 349,907.73 × 138,833.81
  4. Step 4: Simplify right side
    253,557.25x = 48,579,023,304.35
  5. Step 5: Solve for x
    x = 48,579,023,304.35/253,557.25
  6. Step 6: Final answer
    x = 191,589.96

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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.