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Finding the Fourth Proportional to 208,563.84, 287,819.52 and 113,072

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Solution

The fourth proportional to 208,563.84, 287,819.52 and 113,072 is: 156,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,563.84 : 287,819.52 = 113,072 : x
  2. Step 2: Convert to fraction form
    208,563.84/287,819.52 = 113,072/x
  3. Step 3: Cross multiply
    208,563.84x = 287,819.52 × 113,072
  4. Step 4: Simplify right side
    208,563.84x = 32,544,328,765.44
  5. Step 5: Solve for x
    x = 32,544,328,765.44/208,563.84
  6. Step 6: Final answer
    x = 156,040.13

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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.