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Finding the Fourth Proportional to 100,201.96, 138,303.66 and 57,786.04

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Solution

The fourth proportional to 100,201.96, 138,303.66 and 57,786.04 is: 79,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,201.96 : 138,303.66 = 57,786.04 : x
  2. Step 2: Convert to fraction form
    100,201.96/138,303.66 = 57,786.04/x
  3. Step 3: Cross multiply
    100,201.96x = 138,303.66 × 57,786.04
  4. Step 4: Simplify right side
    100,201.96x = 7,992,020,828.91
  5. Step 5: Solve for x
    x = 7,992,020,828.91/100,201.96
  6. Step 6: Final answer
    x = 79,759.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.