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Finding the Fourth Proportional to 12,133.22, 18,235.74 and 10,066.64

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Solution

The fourth proportional to 12,133.22, 18,235.74 and 10,066.64 is: 15,129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133.22 : 18,235.74 = 10,066.64 : x
  2. Step 2: Convert to fraction form
    12,133.22/18,235.74 = 10,066.64/x
  3. Step 3: Cross multiply
    12,133.22x = 18,235.74 × 10,066.64
  4. Step 4: Simplify right side
    12,133.22x = 183,572,629.71
  5. Step 5: Solve for x
    x = 183,572,629.71/12,133.22
  6. Step 6: Final answer
    x = 15,129.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.