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Finding the Fourth Proportional to 128,271.68, 192,468.96 and 45,204.80

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Solution

The fourth proportional to 128,271.68, 192,468.96 and 45,204.80 is: 67,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,271.68 : 192,468.96 = 45,204.80 : x
  2. Step 2: Convert to fraction form
    128,271.68/192,468.96 = 45,204.80/x
  3. Step 3: Cross multiply
    128,271.68x = 192,468.96 × 45,204.80
  4. Step 4: Simplify right side
    128,271.68x = 8,700,520,843.01
  5. Step 5: Solve for x
    x = 8,700,520,843.01/128,271.68
  6. Step 6: Final answer
    x = 67,828.85

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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.