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Finding the Fourth Proportional to 190,662, 286,072.32 and 83,991.36

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Solution

The fourth proportional to 190,662, 286,072.32 and 83,991.36 is: 126,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,662 : 286,072.32 = 83,991.36 : x
  2. Step 2: Convert to fraction form
    190,662/286,072.32 = 83,991.36/x
  3. Step 3: Cross multiply
    190,662x = 286,072.32 × 83,991.36
  4. Step 4: Simplify right side
    190,662x = 24,027,603,215.16
  5. Step 5: Solve for x
    x = 24,027,603,215.16/190,662
  6. Step 6: Final answer
    x = 126,021.98

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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.