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Finding the Fourth Proportional to 154,419.40, 231,629.10 and 54,578.80

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Solution

The fourth proportional to 154,419.40, 231,629.10 and 54,578.80 is: 81,868.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,419.40 : 231,629.10 = 54,578.80 : x
  2. Step 2: Convert to fraction form
    154,419.40/231,629.10 = 54,578.80/x
  3. Step 3: Cross multiply
    154,419.40x = 231,629.10 × 54,578.80
  4. Step 4: Simplify right side
    154,419.40x = 12,642,038,323.08
  5. Step 5: Solve for x
    x = 12,642,038,323.08/154,419.40
  6. Step 6: Final answer
    x = 81,868.20

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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.