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Finding the Fourth Proportional to 145,162, 217,743 and 46,666

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Solution

The fourth proportional to 145,162, 217,743 and 46,666 is: 69,999

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,162 : 217,743 = 46,666 : x
  2. Step 2: Convert to fraction form
    145,162/217,743 = 46,666/x
  3. Step 3: Cross multiply
    145,162x = 217,743 × 46,666
  4. Step 4: Simplify right side
    145,162x = 10,161,194,838
  5. Step 5: Solve for x
    x = 10,161,194,838/145,162
  6. Step 6: Final answer
    x = 69,999

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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.