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Finding the Fourth Proportional to 54,306,938.40, 81,491,900.40 and 20,231,728.80

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Solution

The fourth proportional to 54,306,938.40, 81,491,900.40 and 20,231,728.80 is: 30,359,325.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,306,938.40 : 81,491,900.40 = 20,231,728.80 : x
  2. Step 2: Convert to fraction form
    54,306,938.40/81,491,900.40 = 20,231,728.80/x
  3. Step 3: Cross multiply
    54,306,938.40x = 81,491,900.40 × 20,231,728.80
  4. Step 4: Simplify right side
    54,306,938.40x = 1,648,722,028,289,411.75
  5. Step 5: Solve for x
    x = 1,648,722,028,289,411.75/54,306,938.40
  6. Step 6: Final answer
    x = 30,359,325.66

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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.