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Finding the Fourth Proportional to 34,976, 48,267.36 and 20,072

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Solution

The fourth proportional to 34,976, 48,267.36 and 20,072 is: 27,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,976 : 48,267.36 = 20,072 : x
  2. Step 2: Convert to fraction form
    34,976/48,267.36 = 20,072/x
  3. Step 3: Cross multiply
    34,976x = 48,267.36 × 20,072
  4. Step 4: Simplify right side
    34,976x = 968,822,449.92
  5. Step 5: Solve for x
    x = 968,822,449.92/34,976
  6. Step 6: Final answer
    x = 27,699.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.