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Finding the Fourth Proportional to 128,410.40, 192,421.20 and 86,808.80

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Solution

The fourth proportional to 128,410.40, 192,421.20 and 86,808.80 is: 130,081.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,410.40 : 192,421.20 = 86,808.80 : x
  2. Step 2: Convert to fraction form
    128,410.40/192,421.20 = 86,808.80/x
  3. Step 3: Cross multiply
    128,410.40x = 192,421.20 × 86,808.80
  4. Step 4: Simplify right side
    128,410.40x = 16,703,853,466.56
  5. Step 5: Solve for x
    x = 16,703,853,466.56/128,410.40
  6. Step 6: Final answer
    x = 130,081.78

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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.