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Finding the Fourth Proportional to 76,824, 106,046.28 and 51,688.08

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Solution

The fourth proportional to 76,824, 106,046.28 and 51,688.08 is: 71,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824 : 106,046.28 = 51,688.08 : x
  2. Step 2: Convert to fraction form
    76,824/106,046.28 = 51,688.08/x
  3. Step 3: Cross multiply
    76,824x = 106,046.28 × 51,688.08
  4. Step 4: Simplify right side
    76,824x = 5,481,328,604.34
  5. Step 5: Solve for x
    x = 5,481,328,604.34/76,824
  6. Step 6: Final answer
    x = 71,349.17

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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.