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Finding the Fourth Proportional to 208,999.58, 288,421.11 and 113,506.95

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Solution

The fourth proportional to 208,999.58, 288,421.11 and 113,506.95 is: 156,640.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.58 : 288,421.11 = 113,506.95 : x
  2. Step 2: Convert to fraction form
    208,999.58/288,421.11 = 113,506.95/x
  3. Step 3: Cross multiply
    208,999.58x = 288,421.11 × 113,506.95
  4. Step 4: Simplify right side
    208,999.58x = 32,737,801,167.64
  5. Step 5: Solve for x
    x = 32,737,801,167.64/208,999.58
  6. Step 6: Final answer
    x = 156,640.52

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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.