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Finding the Fourth Proportional to 104,678.94, 144,400.86 and 72,792.48

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Solution

The fourth proportional to 104,678.94, 144,400.86 and 72,792.48 is: 100,414.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,678.94 : 144,400.86 = 72,792.48 : x
  2. Step 2: Convert to fraction form
    104,678.94/144,400.86 = 72,792.48/x
  3. Step 3: Cross multiply
    104,678.94x = 144,400.86 × 72,792.48
  4. Step 4: Simplify right side
    104,678.94x = 10,511,296,713.53
  5. Step 5: Solve for x
    x = 10,511,296,713.53/104,678.94
  6. Step 6: Final answer
    x = 100,414.63

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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.