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Finding the Fourth Proportional to 52,978.99, 73,112.30 and 29,107.21

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Solution

The fourth proportional to 52,978.99, 73,112.30 and 29,107.21 is: 40,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,978.99 : 73,112.30 = 29,107.21 : x
  2. Step 2: Convert to fraction form
    52,978.99/73,112.30 = 29,107.21/x
  3. Step 3: Cross multiply
    52,978.99x = 73,112.30 × 29,107.21
  4. Step 4: Simplify right side
    52,978.99x = 2,128,094,924.15
  5. Step 5: Solve for x
    x = 2,128,094,924.15/52,978.99
  6. Step 6: Final answer
    x = 40,168.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.