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Finding the Fourth Proportional to 253,967.13, 381,008.12 and 127,667.88

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Solution

The fourth proportional to 253,967.13, 381,008.12 and 127,667.88 is: 191,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,967.13 : 381,008.12 = 127,667.88 : x
  2. Step 2: Convert to fraction form
    253,967.13/381,008.12 = 127,667.88/x
  3. Step 3: Cross multiply
    253,967.13x = 381,008.12 × 127,667.88
  4. Step 4: Simplify right side
    253,967.13x = 48,642,498,304.85
  5. Step 5: Solve for x
    x = 48,642,498,304.85/253,967.13
  6. Step 6: Final answer
    x = 191,530.68

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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.