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Finding the Fourth Proportional to 102,761, 154,141.54 and 28,889

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Solution

The fourth proportional to 102,761, 154,141.54 and 28,889 is: 43,333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,761 : 154,141.54 = 28,889 : x
  2. Step 2: Convert to fraction form
    102,761/154,141.54 = 28,889/x
  3. Step 3: Cross multiply
    102,761x = 154,141.54 × 28,889
  4. Step 4: Simplify right side
    102,761x = 4,452,994,949.06
  5. Step 5: Solve for x
    x = 4,452,994,949.06/102,761
  6. Step 6: Final answer
    x = 43,333.51

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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.