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Finding the Fourth Proportional to 213,850.80, 320,430.60 and 134,823.60

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Solution

The fourth proportional to 213,850.80, 320,430.60 and 134,823.60 is: 202,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,850.80 : 320,430.60 = 134,823.60 : x
  2. Step 2: Convert to fraction form
    213,850.80/320,430.60 = 134,823.60/x
  3. Step 3: Cross multiply
    213,850.80x = 320,430.60 × 134,823.60
  4. Step 4: Simplify right side
    213,850.80x = 43,201,607,042.16
  5. Step 5: Solve for x
    x = 43,201,607,042.16/213,850.80
  6. Step 6: Final answer
    x = 202,017.51

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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.