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Finding the Fourth Proportional to 85,826.80, 129,085.80 and 76,841.20

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Solution

The fourth proportional to 85,826.80, 129,085.80 and 76,841.20 is: 115,571.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,826.80 : 129,085.80 = 76,841.20 : x
  2. Step 2: Convert to fraction form
    85,826.80/129,085.80 = 76,841.20/x
  3. Step 3: Cross multiply
    85,826.80x = 129,085.80 × 76,841.20
  4. Step 4: Simplify right side
    85,826.80x = 9,919,107,774.96
  5. Step 5: Solve for x
    x = 9,919,107,774.96/85,826.80
  6. Step 6: Final answer
    x = 115,571.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.