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Finding the Fourth Proportional to 141,988.56, 195,978.36 and 85,389

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Solution

The fourth proportional to 141,988.56, 195,978.36 and 85,389 is: 117,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,988.56 : 195,978.36 = 85,389 : x
  2. Step 2: Convert to fraction form
    141,988.56/195,978.36 = 85,389/x
  3. Step 3: Cross multiply
    141,988.56x = 195,978.36 × 85,389
  4. Step 4: Simplify right side
    141,988.56x = 16,734,396,182.04
  5. Step 5: Solve for x
    x = 16,734,396,182.04/141,988.56
  6. Step 6: Final answer
    x = 117,857.36

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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.