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Finding the Fourth Proportional to 75,912.63, 104,759.43 and 42,378.63

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Solution

The fourth proportional to 75,912.63, 104,759.43 and 42,378.63 is: 58,482.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,912.63 : 104,759.43 = 42,378.63 : x
  2. Step 2: Convert to fraction form
    75,912.63/104,759.43 = 42,378.63/x
  3. Step 3: Cross multiply
    75,912.63x = 104,759.43 × 42,378.63
  4. Step 4: Simplify right side
    75,912.63x = 4,439,561,122.98
  5. Step 5: Solve for x
    x = 4,439,561,122.98/75,912.63
  6. Step 6: Final answer
    x = 58,482.51

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1.5x scale

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.