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Finding the Fourth Proportional to 128,286.72, 192,291.84 and 72,852.48

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Solution

The fourth proportional to 128,286.72, 192,291.84 and 72,852.48 is: 109,200.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,286.72 : 192,291.84 = 72,852.48 : x
  2. Step 2: Convert to fraction form
    128,286.72/192,291.84 = 72,852.48/x
  3. Step 3: Cross multiply
    128,286.72x = 192,291.84 × 72,852.48
  4. Step 4: Simplify right side
    128,286.72x = 14,008,937,427.76
  5. Step 5: Solve for x
    x = 14,008,937,427.76/128,286.72
  6. Step 6: Final answer
    x = 109,200.22

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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.