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Finding the Fourth Proportional to 128,200.20, 192,300.30 and 86,209.80

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Solution

The fourth proportional to 128,200.20, 192,300.30 and 86,209.80 is: 129,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,200.20 : 192,300.30 = 86,209.80 : x
  2. Step 2: Convert to fraction form
    128,200.20/192,300.30 = 86,209.80/x
  3. Step 3: Cross multiply
    128,200.20x = 192,300.30 × 86,209.80
  4. Step 4: Simplify right side
    128,200.20x = 16,578,170,402.94
  5. Step 5: Solve for x
    x = 16,578,170,402.94/128,200.20
  6. Step 6: Final answer
    x = 129,314.70

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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.