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Finding the Fourth Proportional to 84,625.72, 126,813.78 and 47,134.14

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Solution

The fourth proportional to 84,625.72, 126,813.78 and 47,134.14 is: 70,631.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,625.72 : 126,813.78 = 47,134.14 : x
  2. Step 2: Convert to fraction form
    84,625.72/126,813.78 = 47,134.14/x
  3. Step 3: Cross multiply
    84,625.72x = 126,813.78 × 47,134.14
  4. Step 4: Simplify right side
    84,625.72x = 5,977,258,460.45
  5. Step 5: Solve for x
    x = 5,977,258,460.45/84,625.72
  6. Step 6: Final answer
    x = 70,631.70

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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.