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Finding the Fourth Proportional to 272,021.10, 408,070.05 and 85,013.10

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Solution

The fourth proportional to 272,021.10, 408,070.05 and 85,013.10 is: 127,531.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,021.10 : 408,070.05 = 85,013.10 : x
  2. Step 2: Convert to fraction form
    272,021.10/408,070.05 = 85,013.10/x
  3. Step 3: Cross multiply
    272,021.10x = 408,070.05 × 85,013.10
  4. Step 4: Simplify right side
    272,021.10x = 34,691,299,967.66
  5. Step 5: Solve for x
    x = 34,691,299,967.66/272,021.10
  6. Step 6: Final answer
    x = 127,531.65

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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.