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Finding the Fourth Proportional to 53,893.64, 80,846.35 and 20,641.93

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Solution

The fourth proportional to 53,893.64, 80,846.35 and 20,641.93 is: 30,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,893.64 : 80,846.35 = 20,641.93 : x
  2. Step 2: Convert to fraction form
    53,893.64/80,846.35 = 20,641.93/x
  3. Step 3: Cross multiply
    53,893.64x = 80,846.35 × 20,641.93
  4. Step 4: Simplify right side
    53,893.64x = 1,668,824,443.73
  5. Step 5: Solve for x
    x = 1,668,824,443.73/53,893.64
  6. Step 6: Final answer
    x = 30,965.14

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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.