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Finding the Fourth Proportional to 105,684.90, 158,526 and 25,723

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Solution

The fourth proportional to 105,684.90, 158,526 and 25,723 is: 38,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,684.90 : 158,526 = 25,723 : x
  2. Step 2: Convert to fraction form
    105,684.90/158,526 = 25,723/x
  3. Step 3: Cross multiply
    105,684.90x = 158,526 × 25,723
  4. Step 4: Simplify right side
    105,684.90x = 4,077,764,298
  5. Step 5: Solve for x
    x = 4,077,764,298/105,684.90
  6. Step 6: Final answer
    x = 38,584.17

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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.