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Finding the Fourth Proportional to 76,636, 114,842.72 and 54,493.92

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Solution

The fourth proportional to 76,636, 114,842.72 and 54,493.92 is: 81,661.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,636 : 114,842.72 = 54,493.92 : x
  2. Step 2: Convert to fraction form
    76,636/114,842.72 = 54,493.92/x
  3. Step 3: Cross multiply
    76,636x = 114,842.72 × 54,493.92
  4. Step 4: Simplify right side
    76,636x = 6,258,229,996.26
  5. Step 5: Solve for x
    x = 6,258,229,996.26/76,636
  6. Step 6: Final answer
    x = 81,661.75

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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.