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Finding the Fourth Proportional to 153,765, 212,195.70 and 83,109

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Solution

The fourth proportional to 153,765, 212,195.70 and 83,109 is: 114,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,765 : 212,195.70 = 83,109 : x
  2. Step 2: Convert to fraction form
    153,765/212,195.70 = 83,109/x
  3. Step 3: Cross multiply
    153,765x = 212,195.70 × 83,109
  4. Step 4: Simplify right side
    153,765x = 17,635,372,431.30
  5. Step 5: Solve for x
    x = 17,635,372,431.30/153,765
  6. Step 6: Final answer
    x = 114,690.42

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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.