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Finding the Fourth Proportional to 74,566, 111,864.36 and 30,790

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Solution

The fourth proportional to 74,566, 111,864.36 and 30,790 is: 46,191.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,566 : 111,864.36 = 30,790 : x
  2. Step 2: Convert to fraction form
    74,566/111,864.36 = 30,790/x
  3. Step 3: Cross multiply
    74,566x = 111,864.36 × 30,790
  4. Step 4: Simplify right side
    74,566x = 3,444,303,644.40
  5. Step 5: Solve for x
    x = 3,444,303,644.40/74,566
  6. Step 6: Final answer
    x = 46,191.34

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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.