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Finding the Fourth Proportional to 183,978, 276,033.60 and 90,549.36

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Solution

The fourth proportional to 183,978, 276,033.60 and 90,549.36 is: 135,856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,978 : 276,033.60 = 90,549.36 : x
  2. Step 2: Convert to fraction form
    183,978/276,033.60 = 90,549.36/x
  3. Step 3: Cross multiply
    183,978x = 276,033.60 × 90,549.36
  4. Step 4: Simplify right side
    183,978x = 24,994,665,818.50
  5. Step 5: Solve for x
    x = 24,994,665,818.50/183,978
  6. Step 6: Final answer
    x = 135,856.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.