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Finding the Fourth Proportional to 321,793.63, 482,713.53 and 85,133.50

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Solution

The fourth proportional to 321,793.63, 482,713.53 and 85,133.50 is: 127,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,793.63 : 482,713.53 = 85,133.50 : x
  2. Step 2: Convert to fraction form
    321,793.63/482,713.53 = 85,133.50/x
  3. Step 3: Cross multiply
    321,793.63x = 482,713.53 × 85,133.50
  4. Step 4: Simplify right side
    321,793.63x = 41,095,092,306.26
  5. Step 5: Solve for x
    x = 41,095,092,306.26/321,793.63
  6. Step 6: Final answer
    x = 127,706.36

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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.