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Finding the Fourth Proportional to 128,571.54, 177,436.89 and 71,986.02

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Solution

The fourth proportional to 128,571.54, 177,436.89 and 71,986.02 is: 99,345.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,571.54 : 177,436.89 = 71,986.02 : x
  2. Step 2: Convert to fraction form
    128,571.54/177,436.89 = 71,986.02/x
  3. Step 3: Cross multiply
    128,571.54x = 177,436.89 × 71,986.02
  4. Step 4: Simplify right side
    128,571.54x = 12,772,975,512.28
  5. Step 5: Solve for x
    x = 12,772,975,512.28/128,571.54
  6. Step 6: Final answer
    x = 99,345.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.