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Finding the Fourth Proportional to 89,861.78, 134,943.06 and 86,285.90

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Solution

The fourth proportional to 89,861.78, 134,943.06 and 86,285.90 is: 129,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,861.78 : 134,943.06 = 86,285.90 : x
  2. Step 2: Convert to fraction form
    89,861.78/134,943.06 = 86,285.90/x
  3. Step 3: Cross multiply
    89,861.78x = 134,943.06 × 86,285.90
  4. Step 4: Simplify right side
    89,861.78x = 11,643,683,380.85
  5. Step 5: Solve for x
    x = 11,643,683,380.85/89,861.78
  6. Step 6: Final answer
    x = 129,573.26

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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.