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Finding the Fourth Proportional to 52,158.83, 71,978.56 and 28,285.22

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Solution

The fourth proportional to 52,158.83, 71,978.56 and 28,285.22 is: 39,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,158.83 : 71,978.56 = 28,285.22 : x
  2. Step 2: Convert to fraction form
    52,158.83/71,978.56 = 28,285.22/x
  3. Step 3: Cross multiply
    52,158.83x = 71,978.56 × 28,285.22
  4. Step 4: Simplify right side
    52,158.83x = 2,035,929,514.12
  5. Step 5: Solve for x
    x = 2,035,929,514.12/52,158.83
  6. Step 6: Final answer
    x = 39,033.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.