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Finding the Fourth Proportional to 208,622.95, 312,990.59 and 107,365.83

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Solution

The fourth proportional to 208,622.95, 312,990.59 and 107,365.83 is: 161,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,622.95 : 312,990.59 = 107,365.83 : x
  2. Step 2: Convert to fraction form
    208,622.95/312,990.59 = 107,365.83/x
  3. Step 3: Cross multiply
    208,622.95x = 312,990.59 × 107,365.83
  4. Step 4: Simplify right side
    208,622.95x = 33,604,494,477.54
  5. Step 5: Solve for x
    x = 33,604,494,477.54/208,622.95
  6. Step 6: Final answer
    x = 161,077.65

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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.