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Finding the Fourth Proportional to 53,516.88, 80,323.92 and 28,578.24

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Solution

The fourth proportional to 53,516.88, 80,323.92 and 28,578.24 is: 42,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,516.88 : 80,323.92 = 28,578.24 : x
  2. Step 2: Convert to fraction form
    53,516.88/80,323.92 = 28,578.24/x
  3. Step 3: Cross multiply
    53,516.88x = 80,323.92 × 28,578.24
  4. Step 4: Simplify right side
    53,516.88x = 2,295,516,263.50
  5. Step 5: Solve for x
    x = 2,295,516,263.50/53,516.88
  6. Step 6: Final answer
    x = 42,893.31

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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.