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Finding the Fourth Proportional to 243,785.77, 365,621.22 and 137,215.09

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Solution

The fourth proportional to 243,785.77, 365,621.22 and 137,215.09 is: 205,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,785.77 : 365,621.22 = 137,215.09 : x
  2. Step 2: Convert to fraction form
    243,785.77/365,621.22 = 137,215.09/x
  3. Step 3: Cross multiply
    243,785.77x = 365,621.22 × 137,215.09
  4. Step 4: Simplify right side
    243,785.77x = 50,168,748,608.21
  5. Step 5: Solve for x
    x = 50,168,748,608.21/243,785.77
  6. Step 6: Final answer
    x = 205,790.31

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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.