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Finding the Fourth Proportional to 122,114.20, 182,928.30 and 107,501.80

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Solution

The fourth proportional to 122,114.20, 182,928.30 and 107,501.80 is: 161,038.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,114.20 : 182,928.30 = 107,501.80 : x
  2. Step 2: Convert to fraction form
    122,114.20/182,928.30 = 107,501.80/x
  3. Step 3: Cross multiply
    122,114.20x = 182,928.30 × 107,501.80
  4. Step 4: Simplify right side
    122,114.20x = 19,665,121,520.94
  5. Step 5: Solve for x
    x = 19,665,121,520.94/122,114.20
  6. Step 6: Final answer
    x = 161,038.78

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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.