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Finding the Fourth Proportional to 253,973.97, 381,171.15 and 127,650.42

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Solution

The fourth proportional to 253,973.97, 381,171.15 and 127,650.42 is: 191,581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,973.97 : 381,171.15 = 127,650.42 : x
  2. Step 2: Convert to fraction form
    253,973.97/381,171.15 = 127,650.42/x
  3. Step 3: Cross multiply
    253,973.97x = 381,171.15 × 127,650.42
  4. Step 4: Simplify right side
    253,973.97x = 48,656,657,389.38
  5. Step 5: Solve for x
    x = 48,656,657,389.38/253,973.97
  6. Step 6: Final answer
    x = 191,581.28

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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.