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Finding the Fourth Proportional to 215,192.81, 322,768.44 and 65,434.39

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Solution

The fourth proportional to 215,192.81, 322,768.44 and 65,434.39 is: 98,145.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,192.81 : 322,768.44 = 65,434.39 : x
  2. Step 2: Convert to fraction form
    215,192.81/322,768.44 = 65,434.39/x
  3. Step 3: Cross multiply
    215,192.81x = 322,768.44 × 65,434.39
  4. Step 4: Simplify right side
    215,192.81x = 21,120,155,175.73
  5. Step 5: Solve for x
    x = 21,120,155,175.73/215,192.81
  6. Step 6: Final answer
    x = 98,145.26

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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.