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Finding the Fourth Proportional to 208,811.91, 288,160.62 and 113,318.61

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Solution

The fourth proportional to 208,811.91, 288,160.62 and 113,318.61 is: 156,379.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,811.91 : 288,160.62 = 113,318.61 : x
  2. Step 2: Convert to fraction form
    208,811.91/288,160.62 = 113,318.61/x
  3. Step 3: Cross multiply
    208,811.91x = 288,160.62 × 113,318.61
  4. Step 4: Simplify right side
    208,811.91x = 32,653,960,915.14
  5. Step 5: Solve for x
    x = 32,653,960,915.14/208,811.91
  6. Step 6: Final answer
    x = 156,379.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.