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Finding the Fourth Proportional to 122,165.30, 183,114.30 and 43,238.90

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Solution

The fourth proportional to 122,165.30, 183,114.30 and 43,238.90 is: 64,811.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,165.30 : 183,114.30 = 43,238.90 : x
  2. Step 2: Convert to fraction form
    122,165.30/183,114.30 = 43,238.90/x
  3. Step 3: Cross multiply
    122,165.30x = 183,114.30 × 43,238.90
  4. Step 4: Simplify right side
    122,165.30x = 7,917,660,906.27
  5. Step 5: Solve for x
    x = 7,917,660,906.27/122,165.30
  6. Step 6: Final answer
    x = 64,811.05

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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.