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Finding the Fourth Proportional to 208,630.47, 287,910.12 and 113,137.14

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Solution

The fourth proportional to 208,630.47, 287,910.12 and 113,137.14 is: 156,129.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,630.47 : 287,910.12 = 113,137.14 : x
  2. Step 2: Convert to fraction form
    208,630.47/287,910.12 = 113,137.14/x
  3. Step 3: Cross multiply
    208,630.47x = 287,910.12 × 113,137.14
  4. Step 4: Simplify right side
    208,630.47x = 32,573,327,553.86
  5. Step 5: Solve for x
    x = 32,573,327,553.86/208,630.47
  6. Step 6: Final answer
    x = 156,129.29

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1.5x scale

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.