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Finding the Fourth Proportional to 208,578.66, 312,864.75 and 50,806.86

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Solution

The fourth proportional to 208,578.66, 312,864.75 and 50,806.86 is: 76,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,578.66 : 312,864.75 = 50,806.86 : x
  2. Step 2: Convert to fraction form
    208,578.66/312,864.75 = 50,806.86/x
  3. Step 3: Cross multiply
    208,578.66x = 312,864.75 × 50,806.86
  4. Step 4: Simplify right side
    208,578.66x = 15,895,675,552.19
  5. Step 5: Solve for x
    x = 15,895,675,552.19/208,578.66
  6. Step 6: Final answer
    x = 76,209.50

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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.