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Finding the Fourth Proportional to 215,170.15, 322,743.54 and 65,398.76

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Solution

The fourth proportional to 215,170.15, 322,743.54 and 65,398.76 is: 98,094.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,170.15 : 322,743.54 = 65,398.76 : x
  2. Step 2: Convert to fraction form
    215,170.15/322,743.54 = 65,398.76/x
  3. Step 3: Cross multiply
    215,170.15x = 322,743.54 × 65,398.76
  4. Step 4: Simplify right side
    215,170.15x = 21,107,027,314.01
  5. Step 5: Solve for x
    x = 21,107,027,314.01/215,170.15
  6. Step 6: Final answer
    x = 98,094.59

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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.