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Finding the Fourth Proportional to 105,728, 145,891.24 and 57,968.80

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Solution

The fourth proportional to 105,728, 145,891.24 and 57,968.80 is: 79,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,728 : 145,891.24 = 57,968.80 : x
  2. Step 2: Convert to fraction form
    105,728/145,891.24 = 57,968.80/x
  3. Step 3: Cross multiply
    105,728x = 145,891.24 × 57,968.80
  4. Step 4: Simplify right side
    105,728x = 8,457,140,113.31
  5. Step 5: Solve for x
    x = 8,457,140,113.31/105,728
  6. Step 6: Final answer
    x = 79,989.60

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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.