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Finding the Fourth Proportional to 76,992, 106,248.96 and 41,664

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Solution

The fourth proportional to 76,992, 106,248.96 and 41,664 is: 57,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992 : 106,248.96 = 41,664 : x
  2. Step 2: Convert to fraction form
    76,992/106,248.96 = 41,664/x
  3. Step 3: Cross multiply
    76,992x = 106,248.96 × 41,664
  4. Step 4: Simplify right side
    76,992x = 4,426,756,669.44
  5. Step 5: Solve for x
    x = 4,426,756,669.44/76,992
  6. Step 6: Final answer
    x = 57,496.32

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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.