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Finding the Fourth Proportional to 146,143, 201,677.34 and 79,075

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Solution

The fourth proportional to 146,143, 201,677.34 and 79,075 is: 109,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,143 : 201,677.34 = 79,075 : x
  2. Step 2: Convert to fraction form
    146,143/201,677.34 = 79,075/x
  3. Step 3: Cross multiply
    146,143x = 201,677.34 × 79,075
  4. Step 4: Simplify right side
    146,143x = 15,947,635,660.50
  5. Step 5: Solve for x
    x = 15,947,635,660.50/146,143
  6. Step 6: Final answer
    x = 109,123.50

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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.