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Finding the Fourth Proportional to 100,978.40, 151,467.60 and 30,857.11

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Solution

The fourth proportional to 100,978.40, 151,467.60 and 30,857.11 is: 46,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.40 : 151,467.60 = 30,857.11 : x
  2. Step 2: Convert to fraction form
    100,978.40/151,467.60 = 30,857.11/x
  3. Step 3: Cross multiply
    100,978.40x = 151,467.60 × 30,857.11
  4. Step 4: Simplify right side
    100,978.40x = 4,673,852,394.64
  5. Step 5: Solve for x
    x = 4,673,852,394.64/100,978.40
  6. Step 6: Final answer
    x = 46,285.67

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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.