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Finding the Fourth Proportional to 49,980.96, 68,978.64 and 28,761.12

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Solution

The fourth proportional to 49,980.96, 68,978.64 and 28,761.12 is: 39,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,980.96 : 68,978.64 = 28,761.12 : x
  2. Step 2: Convert to fraction form
    49,980.96/68,978.64 = 28,761.12/x
  3. Step 3: Cross multiply
    49,980.96x = 68,978.64 × 28,761.12
  4. Step 4: Simplify right side
    49,980.96x = 1,983,902,942.48
  5. Step 5: Solve for x
    x = 1,983,902,942.48/49,980.96
  6. Step 6: Final answer
    x = 39,693.17

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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.