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Finding the Fourth Proportional to 220,978.64, 304,952.54 and 133,765.75

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Solution

The fourth proportional to 220,978.64, 304,952.54 and 133,765.75 is: 184,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,978.64 : 304,952.54 = 133,765.75 : x
  2. Step 2: Convert to fraction form
    220,978.64/304,952.54 = 133,765.75/x
  3. Step 3: Cross multiply
    220,978.64x = 304,952.54 × 133,765.75
  4. Step 4: Simplify right side
    220,978.64x = 40,792,204,953.31
  5. Step 5: Solve for x
    x = 40,792,204,953.31/220,978.64
  6. Step 6: Final answer
    x = 184,597.95

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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.