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Finding the Fourth Proportional to 120,002.80, 180,004.20 and 96,674.80

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Solution

The fourth proportional to 120,002.80, 180,004.20 and 96,674.80 is: 145,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,002.80 : 180,004.20 = 96,674.80 : x
  2. Step 2: Convert to fraction form
    120,002.80/180,004.20 = 96,674.80/x
  3. Step 3: Cross multiply
    120,002.80x = 180,004.20 × 96,674.80
  4. Step 4: Simplify right side
    120,002.80x = 17,401,870,034.16
  5. Step 5: Solve for x
    x = 17,401,870,034.16/120,002.80
  6. Step 6: Final answer
    x = 145,012.20

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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.