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Finding the Fourth Proportional to 102,747.94, 154,121.91 and 28,875.94

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Solution

The fourth proportional to 102,747.94, 154,121.91 and 28,875.94 is: 43,313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,747.94 : 154,121.91 = 28,875.94 : x
  2. Step 2: Convert to fraction form
    102,747.94/154,121.91 = 28,875.94/x
  3. Step 3: Cross multiply
    102,747.94x = 154,121.91 × 28,875.94
  4. Step 4: Simplify right side
    102,747.94x = 4,450,415,025.85
  5. Step 5: Solve for x
    x = 4,450,415,025.85/102,747.94
  6. Step 6: Final answer
    x = 43,313.91

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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.