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Finding the Fourth Proportional to 85,221.74, 127,860.96 and 37,830.26

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Solution

The fourth proportional to 85,221.74, 127,860.96 and 37,830.26 is: 56,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,221.74 : 127,860.96 = 37,830.26 : x
  2. Step 2: Convert to fraction form
    85,221.74/127,860.96 = 37,830.26/x
  3. Step 3: Cross multiply
    85,221.74x = 127,860.96 × 37,830.26
  4. Step 4: Simplify right side
    85,221.74x = 4,837,013,360.65
  5. Step 5: Solve for x
    x = 4,837,013,360.65/85,221.74
  6. Step 6: Final answer
    x = 56,757.97

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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.