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Finding the Fourth Proportional to 215,730.09, 323,740.94 and 75,489.93

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Solution

The fourth proportional to 215,730.09, 323,740.94 and 75,489.93 is: 113,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,730.09 : 323,740.94 = 75,489.93 : x
  2. Step 2: Convert to fraction form
    215,730.09/323,740.94 = 75,489.93/x
  3. Step 3: Cross multiply
    215,730.09x = 323,740.94 × 75,489.93
  4. Step 4: Simplify right side
    215,730.09x = 24,439,180,898.73
  5. Step 5: Solve for x
    x = 24,439,180,898.73/215,730.09
  6. Step 6: Final answer
    x = 113,285.92

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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.