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Finding the Fourth Proportional to 74,641, 111,960.80 and 30,257.21

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Solution

The fourth proportional to 74,641, 111,960.80 and 30,257.21 is: 45,385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,641 : 111,960.80 = 30,257.21 : x
  2. Step 2: Convert to fraction form
    74,641/111,960.80 = 30,257.21/x
  3. Step 3: Cross multiply
    74,641x = 111,960.80 × 30,257.21
  4. Step 4: Simplify right side
    74,641x = 3,387,621,437.37
  5. Step 5: Solve for x
    x = 3,387,621,437.37/74,641
  6. Step 6: Final answer
    x = 45,385.53

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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.