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Finding the Fourth Proportional to 180,030, 248,441.40 and 100,542

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Solution

The fourth proportional to 180,030, 248,441.40 and 100,542 is: 138,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,030 : 248,441.40 = 100,542 : x
  2. Step 2: Convert to fraction form
    180,030/248,441.40 = 100,542/x
  3. Step 3: Cross multiply
    180,030x = 248,441.40 × 100,542
  4. Step 4: Simplify right side
    180,030x = 24,978,795,238.80
  5. Step 5: Solve for x
    x = 24,978,795,238.80/180,030
  6. Step 6: Final answer
    x = 138,747.96

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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.