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Finding the Fourth Proportional to 160,075, 220,903.50 and 89,419

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Solution

The fourth proportional to 160,075, 220,903.50 and 89,419 is: 123,398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,075 : 220,903.50 = 89,419 : x
  2. Step 2: Convert to fraction form
    160,075/220,903.50 = 89,419/x
  3. Step 3: Cross multiply
    160,075x = 220,903.50 × 89,419
  4. Step 4: Simplify right side
    160,075x = 19,752,970,066.50
  5. Step 5: Solve for x
    x = 19,752,970,066.50/160,075
  6. Step 6: Final answer
    x = 123,398.22

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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.