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Finding the Fourth Proportional to 109,879.20, 164,818.80 and 72,457.20

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Solution

The fourth proportional to 109,879.20, 164,818.80 and 72,457.20 is: 108,685.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,879.20 : 164,818.80 = 72,457.20 : x
  2. Step 2: Convert to fraction form
    109,879.20/164,818.80 = 72,457.20/x
  3. Step 3: Cross multiply
    109,879.20x = 164,818.80 × 72,457.20
  4. Step 4: Simplify right side
    109,879.20x = 11,942,308,755.36
  5. Step 5: Solve for x
    x = 11,942,308,755.36/109,879.20
  6. Step 6: Final answer
    x = 108,685.80

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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.