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Finding the Fourth Proportional to 208,519.52, 287,755.28 and 113,023.76

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Solution

The fourth proportional to 208,519.52, 287,755.28 and 113,023.76 is: 155,971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,519.52 : 287,755.28 = 113,023.76 : x
  2. Step 2: Convert to fraction form
    208,519.52/287,755.28 = 113,023.76/x
  3. Step 3: Cross multiply
    208,519.52x = 287,755.28 × 113,023.76
  4. Step 4: Simplify right side
    208,519.52x = 32,523,183,705.45
  5. Step 5: Solve for x
    x = 32,523,183,705.45/208,519.52
  6. Step 6: Final answer
    x = 155,971.89

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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.