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Finding the Fourth Proportional to 342,127.94, 472,129.25 and 189,172.58

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Solution

The fourth proportional to 342,127.94, 472,129.25 and 189,172.58 is: 261,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,127.94 : 472,129.25 = 189,172.58 : x
  2. Step 2: Convert to fraction form
    342,127.94/472,129.25 = 189,172.58/x
  3. Step 3: Cross multiply
    342,127.94x = 472,129.25 × 189,172.58
  4. Step 4: Simplify right side
    342,127.94x = 89,313,907,370.10
  5. Step 5: Solve for x
    x = 89,313,907,370.10/342,127.94
  6. Step 6: Final answer
    x = 261,054.12

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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.