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Finding the Fourth Proportional to 208,127.58, 312,190.96 and 160,811.43

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Solution

The fourth proportional to 208,127.58, 312,190.96 and 160,811.43 is: 241,216.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,127.58 : 312,190.96 = 160,811.43 : x
  2. Step 2: Convert to fraction form
    208,127.58/312,190.96 = 160,811.43/x
  3. Step 3: Cross multiply
    208,127.58x = 312,190.96 × 160,811.43
  4. Step 4: Simplify right side
    208,127.58x = 50,203,874,710.67
  5. Step 5: Solve for x
    x = 50,203,874,710.67/208,127.58
  6. Step 6: Final answer
    x = 241,216.83

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1.5x scale

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.