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Finding the Fourth Proportional to 208,390.52, 312,585.77 and 50,617.91

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Solution

The fourth proportional to 208,390.52, 312,585.77 and 50,617.91 is: 75,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,390.52 : 312,585.77 = 50,617.91 : x
  2. Step 2: Convert to fraction form
    208,390.52/312,585.77 = 50,617.91/x
  3. Step 3: Cross multiply
    208,390.52x = 312,585.77 × 50,617.91
  4. Step 4: Simplify right side
    208,390.52x = 15,822,436,557.12
  5. Step 5: Solve for x
    x = 15,822,436,557.12/208,390.52
  6. Step 6: Final answer
    x = 75,926.86

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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.