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Finding the Fourth Proportional to 100,429.76, 150,461.04 and 47,023.76

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Solution

The fourth proportional to 100,429.76, 150,461.04 and 47,023.76 is: 70,449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,429.76 : 150,461.04 = 47,023.76 : x
  2. Step 2: Convert to fraction form
    100,429.76/150,461.04 = 47,023.76/x
  3. Step 3: Cross multiply
    100,429.76x = 150,461.04 × 47,023.76
  4. Step 4: Simplify right side
    100,429.76x = 7,075,243,834.31
  5. Step 5: Solve for x
    x = 7,075,243,834.31/100,429.76
  6. Step 6: Final answer
    x = 70,449.67

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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.