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Finding the Fourth Proportional to 221,094.36, 305,110.80 and 144,666

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Solution

The fourth proportional to 221,094.36, 305,110.80 and 144,666 is: 199,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,094.36 : 305,110.80 = 144,666 : x
  2. Step 2: Convert to fraction form
    221,094.36/305,110.80 = 144,666/x
  3. Step 3: Cross multiply
    221,094.36x = 305,110.80 × 144,666
  4. Step 4: Simplify right side
    221,094.36x = 44,139,158,992.80
  5. Step 5: Solve for x
    x = 44,139,158,992.80/221,094.36
  6. Step 6: Final answer
    x = 199,639.46

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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.