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Finding the Fourth Proportional to 86,513.40, 129,794.40 and 42,141.60

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Solution

The fourth proportional to 86,513.40, 129,794.40 and 42,141.60 is: 63,224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,513.40 : 129,794.40 = 42,141.60 : x
  2. Step 2: Convert to fraction form
    86,513.40/129,794.40 = 42,141.60/x
  3. Step 3: Cross multiply
    86,513.40x = 129,794.40 × 42,141.60
  4. Step 4: Simplify right side
    86,513.40x = 5,469,743,687.04
  5. Step 5: Solve for x
    x = 5,469,743,687.04/86,513.40
  6. Step 6: Final answer
    x = 63,224.24

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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.