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Finding the Fourth Proportional to 71,342.40, 107,028.48 and 21,420.48

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Solution

The fourth proportional to 71,342.40, 107,028.48 and 21,420.48 is: 32,135.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.40 : 107,028.48 = 21,420.48 : x
  2. Step 2: Convert to fraction form
    71,342.40/107,028.48 = 21,420.48/x
  3. Step 3: Cross multiply
    71,342.40x = 107,028.48 × 21,420.48
  4. Step 4: Simplify right side
    71,342.40x = 2,292,601,415.27
  5. Step 5: Solve for x
    x = 2,292,601,415.27/71,342.40
  6. Step 6: Final answer
    x = 32,135.19

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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.