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Finding the Fourth Proportional to 229,991.40, 345,003.30 and 130,199.40

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Solution

The fourth proportional to 229,991.40, 345,003.30 and 130,199.40 is: 195,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,991.40 : 345,003.30 = 130,199.40 : x
  2. Step 2: Convert to fraction form
    229,991.40/345,003.30 = 130,199.40/x
  3. Step 3: Cross multiply
    229,991.40x = 345,003.30 × 130,199.40
  4. Step 4: Simplify right side
    229,991.40x = 44,919,222,658.02
  5. Step 5: Solve for x
    x = 44,919,222,658.02/229,991.40
  6. Step 6: Final answer
    x = 195,308.27

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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.