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Finding the Fourth Proportional to 67,830.21, 101,744.10 and 27,840.51

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Solution

The fourth proportional to 67,830.21, 101,744.10 and 27,840.51 is: 41,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,830.21 : 101,744.10 = 27,840.51 : x
  2. Step 2: Convert to fraction form
    67,830.21/101,744.10 = 27,840.51/x
  3. Step 3: Cross multiply
    67,830.21x = 101,744.10 × 27,840.51
  4. Step 4: Simplify right side
    67,830.21x = 2,832,607,633.49
  5. Step 5: Solve for x
    x = 2,832,607,633.49/67,830.21
  6. Step 6: Final answer
    x = 41,760.27

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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.