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Finding the Fourth Proportional to 190,709.16, 285,998.94 and 66,021

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Solution

The fourth proportional to 190,709.16, 285,998.94 and 66,021 is: 99,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,709.16 : 285,998.94 = 66,021 : x
  2. Step 2: Convert to fraction form
    190,709.16/285,998.94 = 66,021/x
  3. Step 3: Cross multiply
    190,709.16x = 285,998.94 × 66,021
  4. Step 4: Simplify right side
    190,709.16x = 18,881,936,017.74
  5. Step 5: Solve for x
    x = 18,881,936,017.74/190,709.16
  6. Step 6: Final answer
    x = 99,009.07

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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.