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Finding the Fourth Proportional to 308,102, 462,230.88 and 86,486

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Solution

The fourth proportional to 308,102, 462,230.88 and 86,486 is: 129,750.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,102 : 462,230.88 = 86,486 : x
  2. Step 2: Convert to fraction form
    308,102/462,230.88 = 86,486/x
  3. Step 3: Cross multiply
    308,102x = 462,230.88 × 86,486
  4. Step 4: Simplify right side
    308,102x = 39,976,499,887.68
  5. Step 5: Solve for x
    x = 39,976,499,887.68/308,102
  6. Step 6: Final answer
    x = 129,750.86

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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.