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Finding the Fourth Proportional to 74,206, 111,315.48 and 18,802

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Solution

The fourth proportional to 74,206, 111,315.48 and 18,802 is: 28,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,206 : 111,315.48 = 18,802 : x
  2. Step 2: Convert to fraction form
    74,206/111,315.48 = 18,802/x
  3. Step 3: Cross multiply
    74,206x = 111,315.48 × 18,802
  4. Step 4: Simplify right side
    74,206x = 2,092,953,654.96
  5. Step 5: Solve for x
    x = 2,092,953,654.96/74,206
  6. Step 6: Final answer
    x = 28,204.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.