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Finding the Fourth Proportional to 100,122, 150,066.36 and 55,727.52

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Solution

The fourth proportional to 100,122, 150,066.36 and 55,727.52 is: 83,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,122 : 150,066.36 = 55,727.52 : x
  2. Step 2: Convert to fraction form
    100,122/150,066.36 = 55,727.52/x
  3. Step 3: Cross multiply
    100,122x = 150,066.36 × 55,727.52
  4. Step 4: Simplify right side
    100,122x = 8,362,826,078.23
  5. Step 5: Solve for x
    x = 8,362,826,078.23/100,122
  6. Step 6: Final answer
    x = 83,526.36

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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.