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Finding the Fourth Proportional to 221,075, 305,083.54 and 120,473

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Solution

The fourth proportional to 221,075, 305,083.54 and 120,473 is: 166,252.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,075 : 305,083.54 = 120,473 : x
  2. Step 2: Convert to fraction form
    221,075/305,083.54 = 120,473/x
  3. Step 3: Cross multiply
    221,075x = 305,083.54 × 120,473
  4. Step 4: Simplify right side
    221,075x = 36,754,329,314.42
  5. Step 5: Solve for x
    x = 36,754,329,314.42/221,075
  6. Step 6: Final answer
    x = 166,252.76

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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.