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Finding the Fourth Proportional to 105,694.38, 145,867.41 and 57,957.03

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Solution

The fourth proportional to 105,694.38, 145,867.41 and 57,957.03 is: 79,985.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,694.38 : 145,867.41 = 57,957.03 : x
  2. Step 2: Convert to fraction form
    105,694.38/145,867.41 = 57,957.03/x
  3. Step 3: Cross multiply
    105,694.38x = 145,867.41 × 57,957.03
  4. Step 4: Simplify right side
    105,694.38x = 8,454,041,857.39
  5. Step 5: Solve for x
    x = 8,454,041,857.39/105,694.38
  6. Step 6: Final answer
    x = 79,985.73

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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.