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Finding the Fourth Proportional to 215,142.86, 322,724.28 and 65,404.64

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Solution

The fourth proportional to 215,142.86, 322,724.28 and 65,404.64 is: 98,110.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,142.86 : 322,724.28 = 65,404.64 : x
  2. Step 2: Convert to fraction form
    215,142.86/322,724.28 = 65,404.64/x
  3. Step 3: Cross multiply
    215,142.86x = 322,724.28 × 65,404.64
  4. Step 4: Simplify right side
    215,142.86x = 21,107,665,352.66
  5. Step 5: Solve for x
    x = 21,107,665,352.66/215,142.86
  6. Step 6: Final answer
    x = 98,110.00

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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.