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Finding the Fourth Proportional to 128,575.82, 192,894.30 and 53,654.33

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Solution

The fourth proportional to 128,575.82, 192,894.30 and 53,654.33 is: 80,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,575.82 : 192,894.30 = 53,654.33 : x
  2. Step 2: Convert to fraction form
    128,575.82/192,894.30 = 53,654.33/x
  3. Step 3: Cross multiply
    128,575.82x = 192,894.30 × 53,654.33
  4. Step 4: Simplify right side
    128,575.82x = 10,349,614,427.32
  5. Step 5: Solve for x
    x = 10,349,614,427.32/128,575.82
  6. Step 6: Final answer
    x = 80,494.25

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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.