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Finding the Fourth Proportional to 150,849, 208,178.10 and 83,781

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Solution

The fourth proportional to 150,849, 208,178.10 and 83,781 is: 115,621.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,849 : 208,178.10 = 83,781 : x
  2. Step 2: Convert to fraction form
    150,849/208,178.10 = 83,781/x
  3. Step 3: Cross multiply
    150,849x = 208,178.10 × 83,781
  4. Step 4: Simplify right side
    150,849x = 17,441,369,396.10
  5. Step 5: Solve for x
    x = 17,441,369,396.10/150,849
  6. Step 6: Final answer
    x = 115,621.38

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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.