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Finding the Fourth Proportional to 101,872.35, 152,205.41 and 98,384.09

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Solution

The fourth proportional to 101,872.35, 152,205.41 and 98,384.09 is: 146,993.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,872.35 : 152,205.41 = 98,384.09 : x
  2. Step 2: Convert to fraction form
    101,872.35/152,205.41 = 98,384.09/x
  3. Step 3: Cross multiply
    101,872.35x = 152,205.41 × 98,384.09
  4. Step 4: Simplify right side
    101,872.35x = 14,974,590,240.86
  5. Step 5: Solve for x
    x = 14,974,590,240.86/101,872.35
  6. Step 6: Final answer
    x = 146,993.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.