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Finding the Fourth Proportional to 215,260.74, 322,903.24 and 65,505.90

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Solution

The fourth proportional to 215,260.74, 322,903.24 and 65,505.90 is: 98,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,260.74 : 322,903.24 = 65,505.90 : x
  2. Step 2: Convert to fraction form
    215,260.74/322,903.24 = 65,505.90/x
  3. Step 3: Cross multiply
    215,260.74x = 322,903.24 × 65,505.90
  4. Step 4: Simplify right side
    215,260.74x = 21,152,067,349.12
  5. Step 5: Solve for x
    x = 21,152,067,349.12/215,260.74
  6. Step 6: Final answer
    x = 98,262.54

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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.