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Finding the Fourth Proportional to 53,886.25, 80,829.52 and 18,825.90

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Solution

The fourth proportional to 53,886.25, 80,829.52 and 18,825.90 is: 28,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,886.25 : 80,829.52 = 18,825.90 : x
  2. Step 2: Convert to fraction form
    53,886.25/80,829.52 = 18,825.90/x
  3. Step 3: Cross multiply
    53,886.25x = 80,829.52 × 18,825.90
  4. Step 4: Simplify right side
    53,886.25x = 1,521,688,460.57
  5. Step 5: Solve for x
    x = 1,521,688,460.57/53,886.25
  6. Step 6: Final answer
    x = 28,238.90

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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.