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Finding the Fourth Proportional to 208,144.58, 312,341.42 and 89,815.92

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Solution

The fourth proportional to 208,144.58, 312,341.42 and 89,815.92 is: 134,777.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,144.58 : 312,341.42 = 89,815.92 : x
  2. Step 2: Convert to fraction form
    208,144.58/312,341.42 = 89,815.92/x
  3. Step 3: Cross multiply
    208,144.58x = 312,341.42 × 89,815.92
  4. Step 4: Simplify right side
    208,144.58x = 28,053,231,991.41
  5. Step 5: Solve for x
    x = 28,053,231,991.41/208,144.58
  6. Step 6: Final answer
    x = 134,777.62

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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.