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Finding the Fourth Proportional to 84,708, 127,064.43 and 22,378.50

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Solution

The fourth proportional to 84,708, 127,064.43 and 22,378.50 is: 33,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,708 : 127,064.43 = 22,378.50 : x
  2. Step 2: Convert to fraction form
    84,708/127,064.43 = 22,378.50/x
  3. Step 3: Cross multiply
    84,708x = 127,064.43 × 22,378.50
  4. Step 4: Simplify right side
    84,708x = 2,843,511,346.76
  5. Step 5: Solve for x
    x = 2,843,511,346.76/84,708
  6. Step 6: Final answer
    x = 33,568.39

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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.