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Finding the Fourth Proportional to 105,251.31, 145,246.64 and 57,504.65

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Solution

The fourth proportional to 105,251.31, 145,246.64 and 57,504.65 is: 79,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,251.31 : 145,246.64 = 57,504.65 : x
  2. Step 2: Convert to fraction form
    105,251.31/145,246.64 = 57,504.65/x
  3. Step 3: Cross multiply
    105,251.31x = 145,246.64 × 57,504.65
  4. Step 4: Simplify right side
    105,251.31x = 8,352,356,183.12
  5. Step 5: Solve for x
    x = 8,352,356,183.12/105,251.31
  6. Step 6: Final answer
    x = 79,356.32

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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.