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Finding the Fourth Proportional to 100,431.76, 150,464.04 and 47,025.76

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Solution

The fourth proportional to 100,431.76, 150,464.04 and 47,025.76 is: 70,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,431.76 : 150,464.04 = 47,025.76 : x
  2. Step 2: Convert to fraction form
    100,431.76/150,464.04 = 47,025.76/x
  3. Step 3: Cross multiply
    100,431.76x = 150,464.04 × 47,025.76
  4. Step 4: Simplify right side
    100,431.76x = 7,075,685,833.67
  5. Step 5: Solve for x
    x = 7,075,685,833.67/100,431.76
  6. Step 6: Final answer
    x = 70,452.67

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1.5x scale

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.