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Finding the Fourth Proportional to 208,153.24, 312,262.38 and 67,879.24

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Solution

The fourth proportional to 208,153.24, 312,262.38 and 67,879.24 is: 101,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.24 : 312,262.38 = 67,879.24 : x
  2. Step 2: Convert to fraction form
    208,153.24/312,262.38 = 67,879.24/x
  3. Step 3: Cross multiply
    208,153.24x = 312,262.38 × 67,879.24
  4. Step 4: Simplify right side
    208,153.24x = 21,196,133,034.99
  5. Step 5: Solve for x
    x = 21,196,133,034.99/208,153.24
  6. Step 6: Final answer
    x = 101,829.46

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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.