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Finding the Fourth Proportional to 208,858.94, 312,893.85 and 161,881.82

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Solution

The fourth proportional to 208,858.94, 312,893.85 and 161,881.82 is: 242,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,858.94 : 312,893.85 = 161,881.82 : x
  2. Step 2: Convert to fraction form
    208,858.94/312,893.85 = 161,881.82/x
  3. Step 3: Cross multiply
    208,858.94x = 312,893.85 × 161,881.82
  4. Step 4: Simplify right side
    208,858.94x = 50,651,825,904.81
  5. Step 5: Solve for x
    x = 50,651,825,904.81/208,858.94
  6. Step 6: Final answer
    x = 242,516.92

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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.