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Finding the Fourth Proportional to 208,604.17, 312,949.82 and 68,351.77

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Solution

The fourth proportional to 208,604.17, 312,949.82 and 68,351.77 is: 102,541.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,604.17 : 312,949.82 = 68,351.77 : x
  2. Step 2: Convert to fraction form
    208,604.17/312,949.82 = 68,351.77/x
  3. Step 3: Cross multiply
    208,604.17x = 312,949.82 × 68,351.77
  4. Step 4: Simplify right side
    208,604.17x = 21,390,674,118.18
  5. Step 5: Solve for x
    x = 21,390,674,118.18/208,604.17
  6. Step 6: Final answer
    x = 102,541.93

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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.