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Finding the Fourth Proportional to 135,345.96, 203,038.38 and 41,859

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Solution

The fourth proportional to 135,345.96, 203,038.38 and 41,859 is: 62,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,345.96 : 203,038.38 = 41,859 : x
  2. Step 2: Convert to fraction form
    135,345.96/203,038.38 = 41,859/x
  3. Step 3: Cross multiply
    135,345.96x = 203,038.38 × 41,859
  4. Step 4: Simplify right side
    135,345.96x = 8,498,983,548.42
  5. Step 5: Solve for x
    x = 8,498,983,548.42/135,345.96
  6. Step 6: Final answer
    x = 62,794.51

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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.