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Finding the Fourth Proportional to 104,800, 144,623.76 and 57,053.68

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Solution

The fourth proportional to 104,800, 144,623.76 and 57,053.68 is: 78,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,800 : 144,623.76 = 57,053.68 : x
  2. Step 2: Convert to fraction form
    104,800/144,623.76 = 57,053.68/x
  3. Step 3: Cross multiply
    104,800x = 144,623.76 × 57,053.68
  4. Step 4: Simplify right side
    104,800x = 8,251,317,723.44
  5. Step 5: Solve for x
    x = 8,251,317,723.44/104,800
  6. Step 6: Final answer
    x = 78,733.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.