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Finding the Fourth Proportional to 150,678, 207,945.36 and 83,610

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Solution

The fourth proportional to 150,678, 207,945.36 and 83,610 is: 115,387.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678 : 207,945.36 = 83,610 : x
  2. Step 2: Convert to fraction form
    150,678/207,945.36 = 83,610/x
  3. Step 3: Cross multiply
    150,678x = 207,945.36 × 83,610
  4. Step 4: Simplify right side
    150,678x = 17,386,311,549.60
  5. Step 5: Solve for x
    x = 17,386,311,549.60/150,678
  6. Step 6: Final answer
    x = 115,387.19

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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.