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Finding the Fourth Proportional to 275,357.72, 413,109.48 and 85,817.72

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Solution

The fourth proportional to 275,357.72, 413,109.48 and 85,817.72 is: 128,749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,357.72 : 413,109.48 = 85,817.72 : x
  2. Step 2: Convert to fraction form
    275,357.72/413,109.48 = 85,817.72/x
  3. Step 3: Cross multiply
    275,357.72x = 413,109.48 × 85,817.72
  4. Step 4: Simplify right side
    275,357.72x = 35,452,113,683.99
  5. Step 5: Solve for x
    x = 35,452,113,683.99/275,357.72
  6. Step 6: Final answer
    x = 128,749.30

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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.