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Finding the Fourth Proportional to 128,569.82, 192,885.30 and 53,648.33

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Solution

The fourth proportional to 128,569.82, 192,885.30 and 53,648.33 is: 80,485.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,569.82 : 192,885.30 = 53,648.33 : x
  2. Step 2: Convert to fraction form
    128,569.82/192,885.30 = 53,648.33/x
  3. Step 3: Cross multiply
    128,569.82x = 192,885.30 × 53,648.33
  4. Step 4: Simplify right side
    128,569.82x = 10,347,973,262.12
  5. Step 5: Solve for x
    x = 10,347,973,262.12/128,569.82
  6. Step 6: Final answer
    x = 80,485.25

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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.