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Finding the Fourth Proportional to 128,322, 192,479.76 and 34,825.32

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Solution

The fourth proportional to 128,322, 192,479.76 and 34,825.32 is: 52,237.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,322 : 192,479.76 = 34,825.32 : x
  2. Step 2: Convert to fraction form
    128,322/192,479.76 = 34,825.32/x
  3. Step 3: Cross multiply
    128,322x = 192,479.76 × 34,825.32
  4. Step 4: Simplify right side
    128,322x = 6,703,169,235.52
  5. Step 5: Solve for x
    x = 6,703,169,235.52/128,322
  6. Step 6: Final answer
    x = 52,237.10

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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.