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Finding the Fourth Proportional to 122,505.96, 183,512.90 and 55,854.40

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Solution

The fourth proportional to 122,505.96, 183,512.90 and 55,854.40 is: 83,669.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,505.96 : 183,512.90 = 55,854.40 : x
  2. Step 2: Convert to fraction form
    122,505.96/183,512.90 = 55,854.40/x
  3. Step 3: Cross multiply
    122,505.96x = 183,512.90 × 55,854.40
  4. Step 4: Simplify right side
    122,505.96x = 10,250,003,380.54
  5. Step 5: Solve for x
    x = 10,250,003,380.54/122,505.96
  6. Step 6: Final answer
    x = 83,669.43

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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.