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Finding the Fourth Proportional to 85,770.76, 128,571 and 40,713.16

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Solution

The fourth proportional to 85,770.76, 128,571 and 40,713.16 is: 61,029.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,770.76 : 128,571 = 40,713.16 : x
  2. Step 2: Convert to fraction form
    85,770.76/128,571 = 40,713.16/x
  3. Step 3: Cross multiply
    85,770.76x = 128,571 × 40,713.16
  4. Step 4: Simplify right side
    85,770.76x = 5,234,531,694.36
  5. Step 5: Solve for x
    x = 5,234,531,694.36/85,770.76
  6. Step 6: Final answer
    x = 61,029.33

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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.