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Finding the Fourth Proportional to 215,143.86, 322,725.78 and 65,405.64

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Solution

The fourth proportional to 215,143.86, 322,725.78 and 65,405.64 is: 98,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,143.86 : 322,725.78 = 65,405.64 : x
  2. Step 2: Convert to fraction form
    215,143.86/322,725.78 = 65,405.64/x
  3. Step 3: Cross multiply
    215,143.86x = 322,725.78 × 65,405.64
  4. Step 4: Simplify right side
    215,143.86x = 21,108,086,185.40
  5. Step 5: Solve for x
    x = 21,108,086,185.40/215,143.86
  6. Step 6: Final answer
    x = 98,111.50

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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.