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Finding the Fourth Proportional to 122,106.20, 183,191.70 and 43,212.20

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Solution

The fourth proportional to 122,106.20, 183,191.70 and 43,212.20 is: 64,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,106.20 : 183,191.70 = 43,212.20 : x
  2. Step 2: Convert to fraction form
    122,106.20/183,191.70 = 43,212.20/x
  3. Step 3: Cross multiply
    122,106.20x = 183,191.70 × 43,212.20
  4. Step 4: Simplify right side
    122,106.20x = 7,916,116,378.74
  5. Step 5: Solve for x
    x = 7,916,116,378.74/122,106.20
  6. Step 6: Final answer
    x = 64,829.77

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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.