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Finding the Fourth Proportional to 76,287.60, 105,318.78 and 52,124.88

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Solution

The fourth proportional to 76,287.60, 105,318.78 and 52,124.88 is: 71,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,287.60 : 105,318.78 = 52,124.88 : x
  2. Step 2: Convert to fraction form
    76,287.60/105,318.78 = 52,124.88/x
  3. Step 3: Cross multiply
    76,287.60x = 105,318.78 × 52,124.88
  4. Step 4: Simplify right side
    76,287.60x = 5,489,728,769.25
  5. Step 5: Solve for x
    x = 5,489,728,769.25/76,287.60
  6. Step 6: Final answer
    x = 71,960.96

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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.