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Finding the Fourth Proportional to 215,695.41, 323,543.92 and 65,935.11

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Solution

The fourth proportional to 215,695.41, 323,543.92 and 65,935.11 is: 98,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,695.41 : 323,543.92 = 65,935.11 : x
  2. Step 2: Convert to fraction form
    215,695.41/323,543.92 = 65,935.11/x
  3. Step 3: Cross multiply
    215,695.41x = 323,543.92 × 65,935.11
  4. Step 4: Simplify right side
    215,695.41x = 21,332,903,955.03
  5. Step 5: Solve for x
    x = 21,332,903,955.03/215,695.41
  6. Step 6: Final answer
    x = 98,902.91

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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.