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Finding the Fourth Proportional to 84,428.96, 126,638.96 and 31,835.04

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Solution

The fourth proportional to 84,428.96, 126,638.96 and 31,835.04 is: 47,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,428.96 : 126,638.96 = 31,835.04 : x
  2. Step 2: Convert to fraction form
    84,428.96/126,638.96 = 31,835.04/x
  3. Step 3: Cross multiply
    84,428.96x = 126,638.96 × 31,835.04
  4. Step 4: Simplify right side
    84,428.96x = 4,031,556,357.16
  5. Step 5: Solve for x
    x = 4,031,556,357.16/84,428.96
  6. Step 6: Final answer
    x = 47,750.87

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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.