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Finding the Fourth Proportional to 208,367.41, 287,548.37 and 112,874.03

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Solution

The fourth proportional to 208,367.41, 287,548.37 and 112,874.03 is: 155,766.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,367.41 : 287,548.37 = 112,874.03 : x
  2. Step 2: Convert to fraction form
    208,367.41/287,548.37 = 112,874.03/x
  3. Step 3: Cross multiply
    208,367.41x = 287,548.37 × 112,874.03
  4. Step 4: Simplify right side
    208,367.41x = 32,456,742,777.46
  5. Step 5: Solve for x
    x = 32,456,742,777.46/208,367.41
  6. Step 6: Final answer
    x = 155,766.89

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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.