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Finding the Fourth Proportional to 76,668.16, 105,236.80 and 68,097.28

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Solution

The fourth proportional to 76,668.16, 105,236.80 and 68,097.28 is: 93,472.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,668.16 : 105,236.80 = 68,097.28 : x
  2. Step 2: Convert to fraction form
    76,668.16/105,236.80 = 68,097.28/x
  3. Step 3: Cross multiply
    76,668.16x = 105,236.80 × 68,097.28
  4. Step 4: Simplify right side
    76,668.16x = 7,166,339,835.90
  5. Step 5: Solve for x
    x = 7,166,339,835.90/76,668.16
  6. Step 6: Final answer
    x = 93,472.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.