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Finding the Fourth Proportional to 76,206.68, 105,169 and 45,991.52

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Solution

The fourth proportional to 76,206.68, 105,169 and 45,991.52 is: 63,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,206.68 : 105,169 = 45,991.52 : x
  2. Step 2: Convert to fraction form
    76,206.68/105,169 = 45,991.52/x
  3. Step 3: Cross multiply
    76,206.68x = 105,169 × 45,991.52
  4. Step 4: Simplify right side
    76,206.68x = 4,836,882,166.88
  5. Step 5: Solve for x
    x = 4,836,882,166.88/76,206.68
  6. Step 6: Final answer
    x = 63,470.58

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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.