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Finding the Fourth Proportional to 205,213.77, 307,819.04 and 110,488.32

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Solution

The fourth proportional to 205,213.77, 307,819.04 and 110,488.32 is: 165,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,213.77 : 307,819.04 = 110,488.32 : x
  2. Step 2: Convert to fraction form
    205,213.77/307,819.04 = 110,488.32/x
  3. Step 3: Cross multiply
    205,213.77x = 307,819.04 × 110,488.32
  4. Step 4: Simplify right side
    205,213.77x = 34,010,408,041.17
  5. Step 5: Solve for x
    x = 34,010,408,041.17/205,213.77
  6. Step 6: Final answer
    x = 165,731.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.