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Finding the Fourth Proportional to 78,767.70, 118,027.71 and 49,141.14

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Solution

The fourth proportional to 78,767.70, 118,027.71 and 49,141.14 is: 73,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,767.70 : 118,027.71 = 49,141.14 : x
  2. Step 2: Convert to fraction form
    78,767.70/118,027.71 = 49,141.14/x
  3. Step 3: Cross multiply
    78,767.70x = 118,027.71 × 49,141.14
  4. Step 4: Simplify right side
    78,767.70x = 5,800,016,220.99
  5. Step 5: Solve for x
    x = 5,800,016,220.99/78,767.70
  6. Step 6: Final answer
    x = 73,634.45

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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.