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Finding the Fourth Proportional to 205,148.60, 307,692.12 and 64,889

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Solution

The fourth proportional to 205,148.60, 307,692.12 and 64,889 is: 97,323.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,148.60 : 307,692.12 = 64,889 : x
  2. Step 2: Convert to fraction form
    205,148.60/307,692.12 = 64,889/x
  3. Step 3: Cross multiply
    205,148.60x = 307,692.12 × 64,889
  4. Step 4: Simplify right side
    205,148.60x = 19,965,833,974.68
  5. Step 5: Solve for x
    x = 19,965,833,974.68/205,148.60
  6. Step 6: Final answer
    x = 97,323.76

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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.