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Finding the Fourth Proportional to 84,821.34, 127,194.63 and 39,855.48

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Solution

The fourth proportional to 84,821.34, 127,194.63 and 39,855.48 is: 59,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,821.34 : 127,194.63 = 39,855.48 : x
  2. Step 2: Convert to fraction form
    84,821.34/127,194.63 = 39,855.48/x
  3. Step 3: Cross multiply
    84,821.34x = 127,194.63 × 39,855.48
  4. Step 4: Simplify right side
    84,821.34x = 5,069,403,590.93
  5. Step 5: Solve for x
    x = 5,069,403,590.93/84,821.34
  6. Step 6: Final answer
    x = 59,765.67

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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.