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Finding the Fourth Proportional to 34,230.40, 51,243.20 and 30,134.40

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Solution

The fourth proportional to 34,230.40, 51,243.20 and 30,134.40 is: 45,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,230.40 : 51,243.20 = 30,134.40 : x
  2. Step 2: Convert to fraction form
    34,230.40/51,243.20 = 30,134.40/x
  3. Step 3: Cross multiply
    34,230.40x = 51,243.20 × 30,134.40
  4. Step 4: Simplify right side
    34,230.40x = 1,544,183,086.08
  5. Step 5: Solve for x
    x = 1,544,183,086.08/34,230.40
  6. Step 6: Final answer
    x = 45,111.45

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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.