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Finding the Fourth Proportional to 81,427.85, 122,135.70 and 34,030.70

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Solution

The fourth proportional to 81,427.85, 122,135.70 and 34,030.70 is: 51,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,427.85 : 122,135.70 = 34,030.70 : x
  2. Step 2: Convert to fraction form
    81,427.85/122,135.70 = 34,030.70/x
  3. Step 3: Cross multiply
    81,427.85x = 122,135.70 × 34,030.70
  4. Step 4: Simplify right side
    81,427.85x = 4,156,363,365.99
  5. Step 5: Solve for x
    x = 4,156,363,365.99/81,427.85
  6. Step 6: Final answer
    x = 51,043.51

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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.