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Finding the Fourth Proportional to 74,538.80, 111,809.12 and 41,323.74

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Solution

The fourth proportional to 74,538.80, 111,809.12 and 41,323.74 is: 61,986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,538.80 : 111,809.12 = 41,323.74 : x
  2. Step 2: Convert to fraction form
    74,538.80/111,809.12 = 41,323.74/x
  3. Step 3: Cross multiply
    74,538.80x = 111,809.12 × 41,323.74
  4. Step 4: Simplify right side
    74,538.80x = 4,620,370,797.89
  5. Step 5: Solve for x
    x = 4,620,370,797.89/74,538.80
  6. Step 6: Final answer
    x = 61,986.12

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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.