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Finding the Fourth Proportional to 205,318.99, 307,978.49 and 65,077.62

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Solution

The fourth proportional to 205,318.99, 307,978.49 and 65,077.62 is: 97,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,318.99 : 307,978.49 = 65,077.62 : x
  2. Step 2: Convert to fraction form
    205,318.99/307,978.49 = 65,077.62/x
  3. Step 3: Cross multiply
    205,318.99x = 307,978.49 × 65,077.62
  4. Step 4: Simplify right side
    205,318.99x = 20,042,507,140.39
  5. Step 5: Solve for x
    x = 20,042,507,140.39/205,318.99
  6. Step 6: Final answer
    x = 97,616.43

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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.