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Finding the Fourth Proportional to 141,692, 195,534.98 and 78,029.68

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Solution

The fourth proportional to 141,692, 195,534.98 and 78,029.68 is: 107,680.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,692 : 195,534.98 = 78,029.68 : x
  2. Step 2: Convert to fraction form
    141,692/195,534.98 = 78,029.68/x
  3. Step 3: Cross multiply
    141,692x = 195,534.98 × 78,029.68
  4. Step 4: Simplify right side
    141,692x = 15,257,531,918.21
  5. Step 5: Solve for x
    x = 15,257,531,918.21/141,692
  6. Step 6: Final answer
    x = 107,680.97

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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.