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Finding the Fourth Proportional to 142,636.20, 214,107.90 and 80,428.20

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Solution

The fourth proportional to 142,636.20, 214,107.90 and 80,428.20 is: 120,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,636.20 : 214,107.90 = 80,428.20 : x
  2. Step 2: Convert to fraction form
    142,636.20/214,107.90 = 80,428.20/x
  3. Step 3: Cross multiply
    142,636.20x = 214,107.90 × 80,428.20
  4. Step 4: Simplify right side
    142,636.20x = 17,220,313,002.78
  5. Step 5: Solve for x
    x = 17,220,313,002.78/142,636.20
  6. Step 6: Final answer
    x = 120,728.91

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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.