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Finding the Fourth Proportional to 100,561.95, 150,875.74 and 47,964.60

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Solution

The fourth proportional to 100,561.95, 150,875.74 and 47,964.60 is: 71,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,561.95 : 150,875.74 = 47,964.60 : x
  2. Step 2: Convert to fraction form
    100,561.95/150,875.74 = 47,964.60/x
  3. Step 3: Cross multiply
    100,561.95x = 150,875.74 × 47,964.60
  4. Step 4: Simplify right side
    100,561.95x = 7,236,694,278.98
  5. Step 5: Solve for x
    x = 7,236,694,278.98/100,561.95
  6. Step 6: Final answer
    x = 71,962.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.