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Finding the Fourth Proportional to 321,792.63, 482,712.03 and 85,132.50

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Solution

The fourth proportional to 321,792.63, 482,712.03 and 85,132.50 is: 127,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,792.63 : 482,712.03 = 85,132.50 : x
  2. Step 2: Convert to fraction form
    321,792.63/482,712.03 = 85,132.50/x
  3. Step 3: Cross multiply
    321,792.63x = 482,712.03 × 85,132.50
  4. Step 4: Simplify right side
    321,792.63x = 41,094,481,893.98
  5. Step 5: Solve for x
    x = 41,094,481,893.98/321,792.63
  6. Step 6: Final answer
    x = 127,704.86

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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.