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Finding the Fourth Proportional to 70,241.82, 105,362.82 and 28,688.82

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Solution

The fourth proportional to 70,241.82, 105,362.82 and 28,688.82 is: 43,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,241.82 : 105,362.82 = 28,688.82 : x
  2. Step 2: Convert to fraction form
    70,241.82/105,362.82 = 28,688.82/x
  3. Step 3: Cross multiply
    70,241.82x = 105,362.82 × 28,688.82
  4. Step 4: Simplify right side
    70,241.82x = 3,022,734,977.67
  5. Step 5: Solve for x
    x = 3,022,734,977.67/70,241.82
  6. Step 6: Final answer
    x = 43,033.27

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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.