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Finding the Fourth Proportional to 205,309.74, 307,971.10 and 65,069.58

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Solution

The fourth proportional to 205,309.74, 307,971.10 and 65,069.58 is: 97,606.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,309.74 : 307,971.10 = 65,069.58 : x
  2. Step 2: Convert to fraction form
    205,309.74/307,971.10 = 65,069.58/x
  3. Step 3: Cross multiply
    205,309.74x = 307,971.10 × 65,069.58
  4. Step 4: Simplify right side
    205,309.74x = 20,039,550,129.14
  5. Step 5: Solve for x
    x = 20,039,550,129.14/205,309.74
  6. Step 6: Final answer
    x = 97,606.43

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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.