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Finding the Fourth Proportional to 258,536.76, 387,805.25 and 81,057.60

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Solution

The fourth proportional to 258,536.76, 387,805.25 and 81,057.60 is: 121,586.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,536.76 : 387,805.25 = 81,057.60 : x
  2. Step 2: Convert to fraction form
    258,536.76/387,805.25 = 81,057.60/x
  3. Step 3: Cross multiply
    258,536.76x = 387,805.25 × 81,057.60
  4. Step 4: Simplify right side
    258,536.76x = 31,434,562,427.11
  5. Step 5: Solve for x
    x = 31,434,562,427.11/258,536.76
  6. Step 6: Final answer
    x = 121,586.44

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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.