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Finding the Fourth Proportional to 154,262.75, 231,428.75 and 54,423.77

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Solution

The fourth proportional to 154,262.75, 231,428.75 and 54,423.77 is: 81,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,262.75 : 231,428.75 = 54,423.77 : x
  2. Step 2: Convert to fraction form
    154,262.75/231,428.75 = 54,423.77/x
  3. Step 3: Cross multiply
    154,262.75x = 231,428.75 × 54,423.77
  4. Step 4: Simplify right side
    154,262.75x = 12,595,223,632.12
  5. Step 5: Solve for x
    x = 12,595,223,632.12/154,262.75
  6. Step 6: Final answer
    x = 81,647.86

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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.