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Finding the Fourth Proportional to 308,100, 462,227.88 and 86,484

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Solution

The fourth proportional to 308,100, 462,227.88 and 86,484 is: 129,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,100 : 462,227.88 = 86,484 : x
  2. Step 2: Convert to fraction form
    308,100/462,227.88 = 86,484/x
  3. Step 3: Cross multiply
    308,100x = 462,227.88 × 86,484
  4. Step 4: Simplify right side
    308,100x = 39,975,315,973.92
  5. Step 5: Solve for x
    x = 39,975,315,973.92/308,100
  6. Step 6: Final answer
    x = 129,747.86

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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.