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Finding the Fourth Proportional to 135,857.86, 203,721.28 and 56,950.90

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Solution

The fourth proportional to 135,857.86, 203,721.28 and 56,950.90 is: 85,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,857.86 : 203,721.28 = 56,950.90 : x
  2. Step 2: Convert to fraction form
    135,857.86/203,721.28 = 56,950.90/x
  3. Step 3: Cross multiply
    135,857.86x = 203,721.28 × 56,950.90
  4. Step 4: Simplify right side
    135,857.86x = 11,602,109,593.47
  5. Step 5: Solve for x
    x = 11,602,109,593.47/135,857.86
  6. Step 6: Final answer
    x = 85,398.89

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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.