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Finding the Fourth Proportional to 205,969.32, 308,959.38 and 65,727.81

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Solution

The fourth proportional to 205,969.32, 308,959.38 and 65,727.81 is: 98,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,969.32 : 308,959.38 = 65,727.81 : x
  2. Step 2: Convert to fraction form
    205,969.32/308,959.38 = 65,727.81/x
  3. Step 3: Cross multiply
    205,969.32x = 308,959.38 × 65,727.81
  4. Step 4: Simplify right side
    205,969.32x = 20,307,223,426.36
  5. Step 5: Solve for x
    x = 20,307,223,426.36/205,969.32
  6. Step 6: Final answer
    x = 98,593.44

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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.