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Finding the Fourth Proportional to 78,451.84, 117,675.01 and 25,143.03

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Solution

The fourth proportional to 78,451.84, 117,675.01 and 25,143.03 is: 37,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,451.84 : 117,675.01 = 25,143.03 : x
  2. Step 2: Convert to fraction form
    78,451.84/117,675.01 = 25,143.03/x
  3. Step 3: Cross multiply
    78,451.84x = 117,675.01 × 25,143.03
  4. Step 4: Simplify right side
    78,451.84x = 2,958,706,306.68
  5. Step 5: Solve for x
    x = 2,958,706,306.68/78,451.84
  6. Step 6: Final answer
    x = 37,713.66

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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.