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Finding the Fourth Proportional to 272,064, 408,119.52 and 75,072

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Solution

The fourth proportional to 272,064, 408,119.52 and 75,072 is: 112,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,064 : 408,119.52 = 75,072 : x
  2. Step 2: Convert to fraction form
    272,064/408,119.52 = 75,072/x
  3. Step 3: Cross multiply
    272,064x = 408,119.52 × 75,072
  4. Step 4: Simplify right side
    272,064x = 30,638,348,605.44
  5. Step 5: Solve for x
    x = 30,638,348,605.44/272,064
  6. Step 6: Final answer
    x = 112,614.49

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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.