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Finding the Fourth Proportional to 213,760.80, 320,295.60 and 134,733.60

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Solution

The fourth proportional to 213,760.80, 320,295.60 and 134,733.60 is: 201,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,760.80 : 320,295.60 = 134,733.60 : x
  2. Step 2: Convert to fraction form
    213,760.80/320,295.60 = 134,733.60/x
  3. Step 3: Cross multiply
    213,760.80x = 320,295.60 × 134,733.60
  4. Step 4: Simplify right side
    213,760.80x = 43,154,579,252.16
  5. Step 5: Solve for x
    x = 43,154,579,252.16/213,760.80
  6. Step 6: Final answer
    x = 201,882.57

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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.