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Finding the Fourth Proportional to 97,920, 146,879.64 and 27,799.32

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Solution

The fourth proportional to 97,920, 146,879.64 and 27,799.32 is: 41,698.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,920 : 146,879.64 = 27,799.32 : x
  2. Step 2: Convert to fraction form
    97,920/146,879.64 = 27,799.32/x
  3. Step 3: Cross multiply
    97,920x = 146,879.64 × 27,799.32
  4. Step 4: Simplify right side
    97,920x = 4,083,154,113.84
  5. Step 5: Solve for x
    x = 4,083,154,113.84/97,920
  6. Step 6: Final answer
    x = 41,698.88

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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.