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Finding the Fourth Proportional to 150,998.46, 208,378 and 83,019.81

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Solution

The fourth proportional to 150,998.46, 208,378 and 83,019.81 is: 114,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,998.46 : 208,378 = 83,019.81 : x
  2. Step 2: Convert to fraction form
    150,998.46/208,378 = 83,019.81/x
  3. Step 3: Cross multiply
    150,998.46x = 208,378 × 83,019.81
  4. Step 4: Simplify right side
    150,998.46x = 17,299,501,968.18
  5. Step 5: Solve for x
    x = 17,299,501,968.18/150,998.46
  6. Step 6: Final answer
    x = 114,567.41

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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.