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Finding the Fourth Proportional to 176,409.78, 264,643.83 and 81,734.55

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Solution

The fourth proportional to 176,409.78, 264,643.83 and 81,734.55 is: 122,615.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,409.78 : 264,643.83 = 81,734.55 : x
  2. Step 2: Convert to fraction form
    176,409.78/264,643.83 = 81,734.55/x
  3. Step 3: Cross multiply
    176,409.78x = 264,643.83 × 81,734.55
  4. Step 4: Simplify right side
    176,409.78x = 21,630,544,355.33
  5. Step 5: Solve for x
    x = 21,630,544,355.33/176,409.78
  6. Step 6: Final answer
    x = 122,615.34

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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.