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Finding the Fourth Proportional to 205,718.54, 308,602.51 and 72,571.34

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Solution

The fourth proportional to 205,718.54, 308,602.51 and 72,571.34 is: 108,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,718.54 : 308,602.51 = 72,571.34 : x
  2. Step 2: Convert to fraction form
    205,718.54/308,602.51 = 72,571.34/x
  3. Step 3: Cross multiply
    205,718.54x = 308,602.51 × 72,571.34
  4. Step 4: Simplify right side
    205,718.54x = 22,395,698,268.14
  5. Step 5: Solve for x
    x = 22,395,698,268.14/205,718.54
  6. Step 6: Final answer
    x = 108,865.73

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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.