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Finding the Fourth Proportional to 85,805.83, 128,694.98 and 23,461.75

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Solution

The fourth proportional to 85,805.83, 128,694.98 and 23,461.75 is: 35,188.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,805.83 : 128,694.98 = 23,461.75 : x
  2. Step 2: Convert to fraction form
    85,805.83/128,694.98 = 23,461.75/x
  3. Step 3: Cross multiply
    85,805.83x = 128,694.98 × 23,461.75
  4. Step 4: Simplify right side
    85,805.83x = 3,019,409,534.57
  5. Step 5: Solve for x
    x = 3,019,409,534.57/85,805.83
  6. Step 6: Final answer
    x = 35,188.86

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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.