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Finding the Fourth Proportional to 84,495.60, 126,743.40 and 51,253.20

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Solution

The fourth proportional to 84,495.60, 126,743.40 and 51,253.20 is: 76,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,495.60 : 126,743.40 = 51,253.20 : x
  2. Step 2: Convert to fraction form
    84,495.60/126,743.40 = 51,253.20/x
  3. Step 3: Cross multiply
    84,495.60x = 126,743.40 × 51,253.20
  4. Step 4: Simplify right side
    84,495.60x = 6,496,004,828.88
  5. Step 5: Solve for x
    x = 6,496,004,828.88/84,495.60
  6. Step 6: Final answer
    x = 76,879.80

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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.