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Finding the Fourth Proportional to 109,257.80, 163,895.54 and 30,372.03

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Solution

The fourth proportional to 109,257.80, 163,895.54 and 30,372.03 is: 45,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,257.80 : 163,895.54 = 30,372.03 : x
  2. Step 2: Convert to fraction form
    109,257.80/163,895.54 = 30,372.03/x
  3. Step 3: Cross multiply
    109,257.80x = 163,895.54 × 30,372.03
  4. Step 4: Simplify right side
    109,257.80x = 4,977,840,105.89
  5. Step 5: Solve for x
    x = 4,977,840,105.89/109,257.80
  6. Step 6: Final answer
    x = 45,560.50

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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.