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Finding the Fourth Proportional to 208,694.42, 312,980.06 and 88,751.14

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Solution

The fourth proportional to 208,694.42, 312,980.06 and 88,751.14 is: 133,100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694.42 : 312,980.06 = 88,751.14 : x
  2. Step 2: Convert to fraction form
    208,694.42/312,980.06 = 88,751.14/x
  3. Step 3: Cross multiply
    208,694.42x = 312,980.06 × 88,751.14
  4. Step 4: Simplify right side
    208,694.42x = 27,777,336,561.70
  5. Step 5: Solve for x
    x = 27,777,336,561.70/208,694.42
  6. Step 6: Final answer
    x = 133,100.53

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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.