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Finding the Fourth Proportional to 153,683, 212,082.54 and 83,027

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Solution

The fourth proportional to 153,683, 212,082.54 and 83,027 is: 114,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,683 : 212,082.54 = 83,027 : x
  2. Step 2: Convert to fraction form
    153,683/212,082.54 = 83,027/x
  3. Step 3: Cross multiply
    153,683x = 212,082.54 × 83,027
  4. Step 4: Simplify right side
    153,683x = 17,608,577,048.58
  5. Step 5: Solve for x
    x = 17,608,577,048.58/153,683
  6. Step 6: Final answer
    x = 114,577.26

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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.