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Finding the Fourth Proportional to 73,902.11, 110,852.35 and 21,309.89

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Solution

The fourth proportional to 73,902.11, 110,852.35 and 21,309.89 is: 31,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,902.11 : 110,852.35 = 21,309.89 : x
  2. Step 2: Convert to fraction form
    73,902.11/110,852.35 = 21,309.89/x
  3. Step 3: Cross multiply
    73,902.11x = 110,852.35 × 21,309.89
  4. Step 4: Simplify right side
    73,902.11x = 2,362,250,777.21
  5. Step 5: Solve for x
    x = 2,362,250,777.21/73,902.11
  6. Step 6: Final answer
    x = 31,964.59

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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.