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Finding the Fourth Proportional to 205,250.85, 307,845.48 and 64,991.25

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Solution

The fourth proportional to 205,250.85, 307,845.48 and 64,991.25 is: 97,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,250.85 : 307,845.48 = 64,991.25 : x
  2. Step 2: Convert to fraction form
    205,250.85/307,845.48 = 64,991.25/x
  3. Step 3: Cross multiply
    205,250.85x = 307,845.48 × 64,991.25
  4. Step 4: Simplify right side
    205,250.85x = 20,007,262,552.05
  5. Step 5: Solve for x
    x = 20,007,262,552.05/205,250.85
  6. Step 6: Final answer
    x = 97,477.12

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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.