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Finding the Fourth Proportional to 120,628.28, 180,914.88 and 45,756.74

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Solution

The fourth proportional to 120,628.28, 180,914.88 and 45,756.74 is: 68,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,628.28 : 180,914.88 = 45,756.74 : x
  2. Step 2: Convert to fraction form
    120,628.28/180,914.88 = 45,756.74/x
  3. Step 3: Cross multiply
    120,628.28x = 180,914.88 × 45,756.74
  4. Step 4: Simplify right side
    120,628.28x = 8,278,075,126.29
  5. Step 5: Solve for x
    x = 8,278,075,126.29/120,628.28
  6. Step 6: Final answer
    x = 68,624.66

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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.