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Finding the Fourth Proportional to 205,321.38, 307,935.60 and 65,003.46

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Solution

The fourth proportional to 205,321.38, 307,935.60 and 65,003.46 is: 97,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,321.38 : 307,935.60 = 65,003.46 : x
  2. Step 2: Convert to fraction form
    205,321.38/307,935.60 = 65,003.46/x
  3. Step 3: Cross multiply
    205,321.38x = 307,935.60 × 65,003.46
  4. Step 4: Simplify right side
    205,321.38x = 20,016,879,457.18
  5. Step 5: Solve for x
    x = 20,016,879,457.18/205,321.38
  6. Step 6: Final answer
    x = 97,490.48

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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.