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Finding the Fourth Proportional to 220,914.88, 304,862.88 and 120,313.28

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Solution

The fourth proportional to 220,914.88, 304,862.88 and 120,313.28 is: 166,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,914.88 : 304,862.88 = 120,313.28 : x
  2. Step 2: Convert to fraction form
    220,914.88/304,862.88 = 120,313.28/x
  3. Step 3: Cross multiply
    220,914.88x = 304,862.88 × 120,313.28
  4. Step 4: Simplify right side
    220,914.88x = 36,679,053,043.05
  5. Step 5: Solve for x
    x = 36,679,053,043.05/220,914.88
  6. Step 6: Final answer
    x = 166,032.51

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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.