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Finding the Fourth Proportional to 163,813, 245,605.48 and 72,578.88

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Solution

The fourth proportional to 163,813, 245,605.48 and 72,578.88 is: 108,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,813 : 245,605.48 = 72,578.88 : x
  2. Step 2: Convert to fraction form
    163,813/245,605.48 = 72,578.88/x
  3. Step 3: Cross multiply
    163,813x = 245,605.48 × 72,578.88
  4. Step 4: Simplify right side
    163,813x = 17,825,770,660.26
  5. Step 5: Solve for x
    x = 17,825,770,660.26/163,813
  6. Step 6: Final answer
    x = 108,817.80

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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.