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Finding the Fourth Proportional to 213,842.25, 320,763.38 and 66,098.25

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Solution

The fourth proportional to 213,842.25, 320,763.38 and 66,098.25 is: 99,147.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,842.25 : 320,763.38 = 66,098.25 : x
  2. Step 2: Convert to fraction form
    213,842.25/320,763.38 = 66,098.25/x
  3. Step 3: Cross multiply
    213,842.25x = 320,763.38 × 66,098.25
  4. Step 4: Simplify right side
    213,842.25x = 21,201,897,751.59
  5. Step 5: Solve for x
    x = 21,201,897,751.59/213,842.25
  6. Step 6: Final answer
    x = 99,147.38

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1.5x scale

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.