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Finding the Fourth Proportional to 258,419.57, 356,621.31 and 142,135.34

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Solution

The fourth proportional to 258,419.57, 356,621.31 and 142,135.34 is: 196,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,419.57 : 356,621.31 = 142,135.34 : x
  2. Step 2: Convert to fraction form
    258,419.57/356,621.31 = 142,135.34/x
  3. Step 3: Cross multiply
    258,419.57x = 356,621.31 × 142,135.34
  4. Step 4: Simplify right side
    258,419.57x = 50,688,489,364.99
  5. Step 5: Solve for x
    x = 50,688,489,364.99/258,419.57
  6. Step 6: Final answer
    x = 196,148.03

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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.