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Finding the Fourth Proportional to 83,415.76, 125,123.64 and 21,086.26

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Solution

The fourth proportional to 83,415.76, 125,123.64 and 21,086.26 is: 31,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,415.76 : 125,123.64 = 21,086.26 : x
  2. Step 2: Convert to fraction form
    83,415.76/125,123.64 = 21,086.26/x
  3. Step 3: Cross multiply
    83,415.76x = 125,123.64 × 21,086.26
  4. Step 4: Simplify right side
    83,415.76x = 2,638,389,605.19
  5. Step 5: Solve for x
    x = 2,638,389,605.19/83,415.76
  6. Step 6: Final answer
    x = 31,629.39

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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.