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Finding the Fourth Proportional to 77,866.34, 116,724.90 and 49,706.96

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Solution

The fourth proportional to 77,866.34, 116,724.90 and 49,706.96 is: 74,512.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,866.34 : 116,724.90 = 49,706.96 : x
  2. Step 2: Convert to fraction form
    77,866.34/116,724.90 = 49,706.96/x
  3. Step 3: Cross multiply
    77,866.34x = 116,724.90 × 49,706.96
  4. Step 4: Simplify right side
    77,866.34x = 5,802,039,935.30
  5. Step 5: Solve for x
    x = 5,802,039,935.30/77,866.34
  6. Step 6: Final answer
    x = 74,512.81

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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.