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Finding the Fourth Proportional to 133,647, 184,432.86 and 74,042.52

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Solution

The fourth proportional to 133,647, 184,432.86 and 74,042.52 is: 102,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,647 : 184,432.86 = 74,042.52 : x
  2. Step 2: Convert to fraction form
    133,647/184,432.86 = 74,042.52/x
  3. Step 3: Cross multiply
    133,647x = 184,432.86 × 74,042.52
  4. Step 4: Simplify right side
    133,647x = 13,655,873,725.21
  5. Step 5: Solve for x
    x = 13,655,873,725.21/133,647
  6. Step 6: Final answer
    x = 102,178.68

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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.