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Finding the Fourth Proportional to 180,030, 269,860.68 and 74,910

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Solution

The fourth proportional to 180,030, 269,860.68 and 74,910 is: 112,288.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,030 : 269,860.68 = 74,910 : x
  2. Step 2: Convert to fraction form
    180,030/269,860.68 = 74,910/x
  3. Step 3: Cross multiply
    180,030x = 269,860.68 × 74,910
  4. Step 4: Simplify right side
    180,030x = 20,215,263,538.80
  5. Step 5: Solve for x
    x = 20,215,263,538.80/180,030
  6. Step 6: Final answer
    x = 112,288.30

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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.