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Finding the Fourth Proportional to 76,842.98, 115,336.46 and 47,318.48

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Solution

The fourth proportional to 76,842.98, 115,336.46 and 47,318.48 is: 71,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842.98 : 115,336.46 = 47,318.48 : x
  2. Step 2: Convert to fraction form
    76,842.98/115,336.46 = 47,318.48/x
  3. Step 3: Cross multiply
    76,842.98x = 115,336.46 × 47,318.48
  4. Step 4: Simplify right side
    76,842.98x = 5,457,545,683.74
  5. Step 5: Solve for x
    x = 5,457,545,683.74/76,842.98
  6. Step 6: Final answer
    x = 71,022.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.