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Finding the Fourth Proportional to 208,854.78, 288,211.88 and 113,359.44

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Solution

The fourth proportional to 208,854.78, 288,211.88 and 113,359.44 is: 156,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.78 : 288,211.88 = 113,359.44 : x
  2. Step 2: Convert to fraction form
    208,854.78/288,211.88 = 113,359.44/x
  3. Step 3: Cross multiply
    208,854.78x = 288,211.88 × 113,359.44
  4. Step 4: Simplify right side
    208,854.78x = 32,671,536,751.35
  5. Step 5: Solve for x
    x = 32,671,536,751.35/208,854.78
  6. Step 6: Final answer
    x = 156,431.84

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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.