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Finding the Fourth Proportional to 78,363.70, 117,564.45 and 25,770.40

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Solution

The fourth proportional to 78,363.70, 117,564.45 and 25,770.40 is: 38,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,363.70 : 117,564.45 = 25,770.40 : x
  2. Step 2: Convert to fraction form
    78,363.70/117,564.45 = 25,770.40/x
  3. Step 3: Cross multiply
    78,363.70x = 117,564.45 × 25,770.40
  4. Step 4: Simplify right side
    78,363.70x = 3,029,682,902.28
  5. Step 5: Solve for x
    x = 3,029,682,902.28/78,363.70
  6. Step 6: Final answer
    x = 38,661.82

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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.