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Finding the Fourth Proportional to 76,205.68, 105,167.61 and 45,990.52

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Solution

The fourth proportional to 76,205.68, 105,167.61 and 45,990.52 is: 63,469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.68 : 105,167.61 = 45,990.52 : x
  2. Step 2: Convert to fraction form
    76,205.68/105,167.61 = 45,990.52/x
  3. Step 3: Cross multiply
    76,205.68x = 105,167.61 × 45,990.52
  4. Step 4: Simplify right side
    76,205.68x = 4,836,713,071.06
  5. Step 5: Solve for x
    x = 4,836,713,071.06/76,205.68
  6. Step 6: Final answer
    x = 63,469.19

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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.