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Finding the Fourth Proportional to 215,861.76, 323,596.62 and 75,543.84

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Solution

The fourth proportional to 215,861.76, 323,596.62 and 75,543.84 is: 113,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,861.76 : 323,596.62 = 75,543.84 : x
  2. Step 2: Convert to fraction form
    215,861.76/323,596.62 = 75,543.84/x
  3. Step 3: Cross multiply
    215,861.76x = 323,596.62 × 75,543.84
  4. Step 4: Simplify right side
    215,861.76x = 24,445,731,285.82
  5. Step 5: Solve for x
    x = 24,445,731,285.82/215,861.76
  6. Step 6: Final answer
    x = 113,247.16

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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.