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Finding the Fourth Proportional to 67,800, 93,564 and 39,505.68

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Solution

The fourth proportional to 67,800, 93,564 and 39,505.68 is: 54,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,800 : 93,564 = 39,505.68 : x
  2. Step 2: Convert to fraction form
    67,800/93,564 = 39,505.68/x
  3. Step 3: Cross multiply
    67,800x = 93,564 × 39,505.68
  4. Step 4: Simplify right side
    67,800x = 3,696,309,443.52
  5. Step 5: Solve for x
    x = 3,696,309,443.52/67,800
  6. Step 6: Final answer
    x = 54,517.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.