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Finding the Fourth Proportional to 99,480.36, 149,215.68 and 37,146

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Solution

The fourth proportional to 99,480.36, 149,215.68 and 37,146 is: 55,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480.36 : 149,215.68 = 37,146 : x
  2. Step 2: Convert to fraction form
    99,480.36/149,215.68 = 37,146/x
  3. Step 3: Cross multiply
    99,480.36x = 149,215.68 × 37,146
  4. Step 4: Simplify right side
    99,480.36x = 5,542,765,649.28
  5. Step 5: Solve for x
    x = 5,542,765,649.28/99,480.36
  6. Step 6: Final answer
    x = 55,717.19

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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.