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Finding the Fourth Proportional to 153,978, 212,490.28 and 83,322

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Solution

The fourth proportional to 153,978, 212,490.28 and 83,322 is: 114,984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,978 : 212,490.28 = 83,322 : x
  2. Step 2: Convert to fraction form
    153,978/212,490.28 = 83,322/x
  3. Step 3: Cross multiply
    153,978x = 212,490.28 × 83,322
  4. Step 4: Simplify right side
    153,978x = 17,705,115,110.16
  5. Step 5: Solve for x
    x = 17,705,115,110.16/153,978
  6. Step 6: Final answer
    x = 114,984.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.