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Finding the Fourth Proportional to 272,064.50, 408,120.27 and 75,072.50

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Solution

The fourth proportional to 272,064.50, 408,120.27 and 75,072.50 is: 112,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,064.50 : 408,120.27 = 75,072.50 : x
  2. Step 2: Convert to fraction form
    272,064.50/408,120.27 = 75,072.50/x
  3. Step 3: Cross multiply
    272,064.50x = 408,120.27 × 75,072.50
  4. Step 4: Simplify right side
    272,064.50x = 30,638,608,969.58
  5. Step 5: Solve for x
    x = 30,638,608,969.58/272,064.50
  6. Step 6: Final answer
    x = 112,615.24

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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.