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Finding the Fourth Proportional to 213,519.60, 320,133.60 and 101,253.60

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Solution

The fourth proportional to 213,519.60, 320,133.60 and 101,253.60 is: 151,811.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,519.60 : 320,133.60 = 101,253.60 : x
  2. Step 2: Convert to fraction form
    213,519.60/320,133.60 = 101,253.60/x
  3. Step 3: Cross multiply
    213,519.60x = 320,133.60 × 101,253.60
  4. Step 4: Simplify right side
    213,519.60x = 32,414,679,480.96
  5. Step 5: Solve for x
    x = 32,414,679,480.96/213,519.60
  6. Step 6: Final answer
    x = 151,811.26

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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.