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Finding the Fourth Proportional to 221,679.16, 305,915.34 and 121,075

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Solution

The fourth proportional to 221,679.16, 305,915.34 and 121,075 is: 167,082.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,679.16 : 305,915.34 = 121,075 : x
  2. Step 2: Convert to fraction form
    221,679.16/305,915.34 = 121,075/x
  3. Step 3: Cross multiply
    221,679.16x = 305,915.34 × 121,075
  4. Step 4: Simplify right side
    221,679.16x = 37,038,699,790.50
  5. Step 5: Solve for x
    x = 37,038,699,790.50/221,679.16
  6. Step 6: Final answer
    x = 167,082.46

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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.