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Finding the Fourth Proportional to 53,425.81, 80,067.93 and 28,412

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Solution

The fourth proportional to 53,425.81, 80,067.93 and 28,412 is: 42,580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425.81 : 80,067.93 = 28,412 : x
  2. Step 2: Convert to fraction form
    53,425.81/80,067.93 = 28,412/x
  3. Step 3: Cross multiply
    53,425.81x = 80,067.93 × 28,412
  4. Step 4: Simplify right side
    53,425.81x = 2,274,890,027.16
  5. Step 5: Solve for x
    x = 2,274,890,027.16/53,425.81
  6. Step 6: Final answer
    x = 42,580.36

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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.