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Finding the Fourth Proportional to 85,327.70, 127,828.35 and 45,871.70

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Solution

The fourth proportional to 85,327.70, 127,828.35 and 45,871.70 is: 68,719.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,327.70 : 127,828.35 = 45,871.70 : x
  2. Step 2: Convert to fraction form
    85,327.70/127,828.35 = 45,871.70/x
  3. Step 3: Cross multiply
    85,327.70x = 127,828.35 × 45,871.70
  4. Step 4: Simplify right side
    85,327.70x = 5,863,703,722.70
  5. Step 5: Solve for x
    x = 5,863,703,722.70/85,327.70
  6. Step 6: Final answer
    x = 68,719.81

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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.