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Finding the Fourth Proportional to 105,694.60, 145,858.31 and 57,952.39

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Solution

The fourth proportional to 105,694.60, 145,858.31 and 57,952.39 is: 79,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,694.60 : 145,858.31 = 57,952.39 : x
  2. Step 2: Convert to fraction form
    105,694.60/145,858.31 = 57,952.39/x
  3. Step 3: Cross multiply
    105,694.60x = 145,858.31 × 57,952.39
  4. Step 4: Simplify right side
    105,694.60x = 8,452,837,376.10
  5. Step 5: Solve for x
    x = 8,452,837,376.10/105,694.60
  6. Step 6: Final answer
    x = 79,974.16

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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.