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Finding the Fourth Proportional to 141,901.74, 195,821.75 and 78,239.39

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Solution

The fourth proportional to 141,901.74, 195,821.75 and 78,239.39 is: 107,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,901.74 : 195,821.75 = 78,239.39 : x
  2. Step 2: Convert to fraction form
    141,901.74/195,821.75 = 78,239.39/x
  3. Step 3: Cross multiply
    141,901.74x = 195,821.75 × 78,239.39
  4. Step 4: Simplify right side
    141,901.74x = 15,320,973,485.22
  5. Step 5: Solve for x
    x = 15,320,973,485.22/141,901.74
  6. Step 6: Final answer
    x = 107,968.89

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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.