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Finding the Fourth Proportional to 215,285.97, 322,945.35 and 65,539.06

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Solution

The fourth proportional to 215,285.97, 322,945.35 and 65,539.06 is: 98,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,285.97 : 322,945.35 = 65,539.06 : x
  2. Step 2: Convert to fraction form
    215,285.97/322,945.35 = 65,539.06/x
  3. Step 3: Cross multiply
    215,285.97x = 322,945.35 × 65,539.06
  4. Step 4: Simplify right side
    215,285.97x = 21,165,534,670.37
  5. Step 5: Solve for x
    x = 21,165,534,670.37/215,285.97
  6. Step 6: Final answer
    x = 98,313.58

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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.