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Finding the Fourth Proportional to 71,580.96, 98,779.77 and 39,749.04

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Solution

The fourth proportional to 71,580.96, 98,779.77 and 39,749.04 is: 54,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,580.96 : 98,779.77 = 39,749.04 : x
  2. Step 2: Convert to fraction form
    71,580.96/98,779.77 = 39,749.04/x
  3. Step 3: Cross multiply
    71,580.96x = 98,779.77 × 39,749.04
  4. Step 4: Simplify right side
    71,580.96x = 3,926,401,028.92
  5. Step 5: Solve for x
    x = 3,926,401,028.92/71,580.96
  6. Step 6: Final answer
    x = 54,852.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.