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Finding the Fourth Proportional to 208,893.20, 288,272.94 and 113,399.96

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Solution

The fourth proportional to 208,893.20, 288,272.94 and 113,399.96 is: 156,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,893.20 : 288,272.94 = 113,399.96 : x
  2. Step 2: Convert to fraction form
    208,893.20/288,272.94 = 113,399.96/x
  3. Step 3: Cross multiply
    208,893.20x = 288,272.94 × 113,399.96
  4. Step 4: Simplify right side
    208,893.20x = 32,690,139,865.08
  5. Step 5: Solve for x
    x = 32,690,139,865.08/208,893.20
  6. Step 6: Final answer
    x = 156,492.12

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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.