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Finding the Fourth Proportional to 56,202.21, 84,230.64 and 42,051.21

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Solution

The fourth proportional to 56,202.21, 84,230.64 and 42,051.21 is: 63,022.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,202.21 : 84,230.64 = 42,051.21 : x
  2. Step 2: Convert to fraction form
    56,202.21/84,230.64 = 42,051.21/x
  3. Step 3: Cross multiply
    56,202.21x = 84,230.64 × 42,051.21
  4. Step 4: Simplify right side
    56,202.21x = 3,542,000,331.07
  5. Step 5: Solve for x
    x = 3,542,000,331.07/56,202.21
  6. Step 6: Final answer
    x = 63,022.44

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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.