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Finding the Fourth Proportional to 81,284.69, 112,190.43 and 49,463.84

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Solution

The fourth proportional to 81,284.69, 112,190.43 and 49,463.84 is: 68,270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,284.69 : 112,190.43 = 49,463.84 : x
  2. Step 2: Convert to fraction form
    81,284.69/112,190.43 = 49,463.84/x
  3. Step 3: Cross multiply
    81,284.69x = 112,190.43 × 49,463.84
  4. Step 4: Simplify right side
    81,284.69x = 5,549,369,479.05
  5. Step 5: Solve for x
    x = 5,549,369,479.05/81,284.69
  6. Step 6: Final answer
    x = 68,270.78

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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.