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Finding the Fourth Proportional to 100,430, 150,653.85 and 37,250.82

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Solution

The fourth proportional to 100,430, 150,653.85 and 37,250.82 is: 55,879.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,430 : 150,653.85 = 37,250.82 : x
  2. Step 2: Convert to fraction form
    100,430/150,653.85 = 37,250.82/x
  3. Step 3: Cross multiply
    100,430x = 150,653.85 × 37,250.82
  4. Step 4: Simplify right side
    100,430x = 5,611,979,448.66
  5. Step 5: Solve for x
    x = 5,611,979,448.66/100,430
  6. Step 6: Final answer
    x = 55,879.51

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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.