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Finding the Fourth Proportional to 78,042.69, 107,698.08 and 42,231.90

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Solution

The fourth proportional to 78,042.69, 107,698.08 and 42,231.90 is: 58,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.69 : 107,698.08 = 42,231.90 : x
  2. Step 2: Convert to fraction form
    78,042.69/107,698.08 = 42,231.90/x
  3. Step 3: Cross multiply
    78,042.69x = 107,698.08 × 42,231.90
  4. Step 4: Simplify right side
    78,042.69x = 4,548,294,544.75
  5. Step 5: Solve for x
    x = 4,548,294,544.75/78,042.69
  6. Step 6: Final answer
    x = 58,279.57

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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.