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Finding the Fourth Proportional to 77,978.43, 116,979.93 and 33,617.70

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Solution

The fourth proportional to 77,978.43, 116,979.93 and 33,617.70 is: 50,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.43 : 116,979.93 = 33,617.70 : x
  2. Step 2: Convert to fraction form
    77,978.43/116,979.93 = 33,617.70/x
  3. Step 3: Cross multiply
    77,978.43x = 116,979.93 × 33,617.70
  4. Step 4: Simplify right side
    77,978.43x = 3,932,596,192.76
  5. Step 5: Solve for x
    x = 3,932,596,192.76/77,978.43
  6. Step 6: Final answer
    x = 50,431.85

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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.