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Finding the Fourth Proportional to 208,805.31, 288,152.08 and 113,311.98

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Solution

The fourth proportional to 208,805.31, 288,152.08 and 113,311.98 is: 156,370.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,805.31 : 288,152.08 = 113,311.98 : x
  2. Step 2: Convert to fraction form
    208,805.31/288,152.08 = 113,311.98/x
  3. Step 3: Cross multiply
    208,805.31x = 288,152.08 × 113,311.98
  4. Step 4: Simplify right side
    208,805.31x = 32,651,082,442.64
  5. Step 5: Solve for x
    x = 32,651,082,442.64/208,805.31
  6. Step 6: Final answer
    x = 156,370.94

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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.