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Finding the Fourth Proportional to 147,645.82, 203,748.39 and 80,578.30

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Solution

The fourth proportional to 147,645.82, 203,748.39 and 80,578.30 is: 111,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,645.82 : 203,748.39 = 80,578.30 : x
  2. Step 2: Convert to fraction form
    147,645.82/203,748.39 = 80,578.30/x
  3. Step 3: Cross multiply
    147,645.82x = 203,748.39 × 80,578.30
  4. Step 4: Simplify right side
    147,645.82x = 16,417,698,893.94
  5. Step 5: Solve for x
    x = 16,417,698,893.94/147,645.82
  6. Step 6: Final answer
    x = 111,196.50

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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.