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Finding the Fourth Proportional to 208,452.89, 287,665.22 and 112,959.77

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Solution

The fourth proportional to 208,452.89, 287,665.22 and 112,959.77 is: 155,884.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,452.89 : 287,665.22 = 112,959.77 : x
  2. Step 2: Convert to fraction form
    208,452.89/287,665.22 = 112,959.77/x
  3. Step 3: Cross multiply
    208,452.89x = 287,665.22 × 112,959.77
  4. Step 4: Simplify right side
    208,452.89x = 32,494,595,932.27
  5. Step 5: Solve for x
    x = 32,494,595,932.27/208,452.89
  6. Step 6: Final answer
    x = 155,884.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.