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Finding the Fourth Proportional to 72,988.89, 100,724.69 and 41,157.80

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Solution

The fourth proportional to 72,988.89, 100,724.69 and 41,157.80 is: 56,797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,988.89 : 100,724.69 = 41,157.80 : x
  2. Step 2: Convert to fraction form
    72,988.89/100,724.69 = 41,157.80/x
  3. Step 3: Cross multiply
    72,988.89x = 100,724.69 × 41,157.80
  4. Step 4: Simplify right side
    72,988.89x = 4,145,606,646.08
  5. Step 5: Solve for x
    x = 4,145,606,646.08/72,988.89
  6. Step 6: Final answer
    x = 56,797.78

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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.