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Finding the Fourth Proportional to 72,584.65, 100,164.23 and 40,754.89

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Solution

The fourth proportional to 72,584.65, 100,164.23 and 40,754.89 is: 56,240.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,584.65 : 100,164.23 = 40,754.89 : x
  2. Step 2: Convert to fraction form
    72,584.65/100,164.23 = 40,754.89/x
  3. Step 3: Cross multiply
    72,584.65x = 100,164.23 × 40,754.89
  4. Step 4: Simplify right side
    72,584.65x = 4,082,181,971.81
  5. Step 5: Solve for x
    x = 4,082,181,971.81/72,584.65
  6. Step 6: Final answer
    x = 56,240.29

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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.