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Finding the Fourth Proportional to 78,042.65, 107,708.39 and 47,832.27

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Solution

The fourth proportional to 78,042.65, 107,708.39 and 47,832.27 is: 66,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.65 : 107,708.39 = 47,832.27 : x
  2. Step 2: Convert to fraction form
    78,042.65/107,708.39 = 47,832.27/x
  3. Step 3: Cross multiply
    78,042.65x = 107,708.39 × 47,832.27
  4. Step 4: Simplify right side
    78,042.65x = 5,151,936,552.58
  5. Step 5: Solve for x
    x = 5,151,936,552.58/78,042.65
  6. Step 6: Final answer
    x = 66,014.38

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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.