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Finding the Fourth Proportional to 215,603.82, 323,398.44 and 65,838.06

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Solution

The fourth proportional to 215,603.82, 323,398.44 and 65,838.06 is: 98,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,603.82 : 323,398.44 = 65,838.06 : x
  2. Step 2: Convert to fraction form
    215,603.82/323,398.44 = 65,838.06/x
  3. Step 3: Cross multiply
    215,603.82x = 323,398.44 × 65,838.06
  4. Step 4: Simplify right side
    215,603.82x = 21,291,925,896.63
  5. Step 5: Solve for x
    x = 21,291,925,896.63/215,603.82
  6. Step 6: Final answer
    x = 98,754.86

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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.