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Finding the Fourth Proportional to 100,978.48, 151,467.72 and 30,857.19

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Solution

The fourth proportional to 100,978.48, 151,467.72 and 30,857.19 is: 46,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,978.48 : 151,467.72 = 30,857.19 : x
  2. Step 2: Convert to fraction form
    100,978.48/151,467.72 = 30,857.19/x
  3. Step 3: Cross multiply
    100,978.48x = 151,467.72 × 30,857.19
  4. Step 4: Simplify right side
    100,978.48x = 4,673,868,214.91
  5. Step 5: Solve for x
    x = 4,673,868,214.91/100,978.48
  6. Step 6: Final answer
    x = 46,285.79

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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.