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Finding the Fourth Proportional to 272,035.20, 407,858.40 and 122,152.80

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Solution

The fourth proportional to 272,035.20, 407,858.40 and 122,152.80 is: 183,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,035.20 : 407,858.40 = 122,152.80 : x
  2. Step 2: Convert to fraction form
    272,035.20/407,858.40 = 122,152.80/x
  3. Step 3: Cross multiply
    272,035.20x = 407,858.40 × 122,152.80
  4. Step 4: Simplify right side
    272,035.20x = 49,821,045,563.52
  5. Step 5: Solve for x
    x = 49,821,045,563.52/272,035.20
  6. Step 6: Final answer
    x = 183,141.91

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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.