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Finding the Fourth Proportional to 84,811.68, 127,185.12 and 40,404.48

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Solution

The fourth proportional to 84,811.68, 127,185.12 and 40,404.48 is: 60,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,811.68 : 127,185.12 = 40,404.48 : x
  2. Step 2: Convert to fraction form
    84,811.68/127,185.12 = 40,404.48/x
  3. Step 3: Cross multiply
    84,811.68x = 127,185.12 × 40,404.48
  4. Step 4: Simplify right side
    84,811.68x = 5,138,848,637.34
  5. Step 5: Solve for x
    x = 5,138,848,637.34/84,811.68
  6. Step 6: Final answer
    x = 60,591.28

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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.