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Finding the Fourth Proportional to 128,321.25, 192,478.64 and 34,824.57

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Solution

The fourth proportional to 128,321.25, 192,478.64 and 34,824.57 is: 52,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,321.25 : 192,478.64 = 34,824.57 : x
  2. Step 2: Convert to fraction form
    128,321.25/192,478.64 = 34,824.57/x
  3. Step 3: Cross multiply
    128,321.25x = 192,478.64 × 34,824.57
  4. Step 4: Simplify right side
    128,321.25x = 6,702,985,698.06
  5. Step 5: Solve for x
    x = 6,702,985,698.06/128,321.25
  6. Step 6: Final answer
    x = 52,235.98

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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.