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Finding the Fourth Proportional to 70,942.05, 106,403.04 and 21,027.42

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Solution

The fourth proportional to 70,942.05, 106,403.04 and 21,027.42 is: 31,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.05 : 106,403.04 = 21,027.42 : x
  2. Step 2: Convert to fraction form
    70,942.05/106,403.04 = 21,027.42/x
  3. Step 3: Cross multiply
    70,942.05x = 106,403.04 × 21,027.42
  4. Step 4: Simplify right side
    70,942.05x = 2,237,381,411.36
  5. Step 5: Solve for x
    x = 2,237,381,411.36/70,942.05
  6. Step 6: Final answer
    x = 31,538.16

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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.