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Finding the Fourth Proportional to 85,466.34, 128,201.13 and 29,370.87

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Solution

The fourth proportional to 85,466.34, 128,201.13 and 29,370.87 is: 44,056.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,466.34 : 128,201.13 = 29,370.87 : x
  2. Step 2: Convert to fraction form
    85,466.34/128,201.13 = 29,370.87/x
  3. Step 3: Cross multiply
    85,466.34x = 128,201.13 × 29,370.87
  4. Step 4: Simplify right side
    85,466.34x = 3,765,378,723.08
  5. Step 5: Solve for x
    x = 3,765,378,723.08/85,466.34
  6. Step 6: Final answer
    x = 44,056.86

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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.