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Finding the Fourth Proportional to 321,810.17, 482,738.94 and 85,151.25

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Solution

The fourth proportional to 321,810.17, 482,738.94 and 85,151.25 is: 127,733.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,810.17 : 482,738.94 = 85,151.25 : x
  2. Step 2: Convert to fraction form
    321,810.17/482,738.94 = 85,151.25/x
  3. Step 3: Cross multiply
    321,810.17x = 482,738.94 × 85,151.25
  4. Step 4: Simplify right side
    321,810.17x = 41,105,824,164.68
  5. Step 5: Solve for x
    x = 41,105,824,164.68/321,810.17
  6. Step 6: Final answer
    x = 127,733.14

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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.