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Finding the Fourth Proportional to 208,222.92, 312,340.41 and 66,068.82

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Solution

The fourth proportional to 208,222.92, 312,340.41 and 66,068.82 is: 99,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.92 : 312,340.41 = 66,068.82 : x
  2. Step 2: Convert to fraction form
    208,222.92/312,340.41 = 66,068.82/x
  3. Step 3: Cross multiply
    208,222.92x = 312,340.41 × 66,068.82
  4. Step 4: Simplify right side
    208,222.92x = 20,635,962,327.02
  5. Step 5: Solve for x
    x = 20,635,962,327.02/208,222.92
  6. Step 6: Final answer
    x = 99,105.14

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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.