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Finding the Fourth Proportional to 78,472.70, 117,579.45 and 66,808.70

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Solution

The fourth proportional to 78,472.70, 117,579.45 and 66,808.70 is: 100,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,472.70 : 117,579.45 = 66,808.70 : x
  2. Step 2: Convert to fraction form
    78,472.70/117,579.45 = 66,808.70/x
  3. Step 3: Cross multiply
    78,472.70x = 117,579.45 × 66,808.70
  4. Step 4: Simplify right side
    78,472.70x = 7,855,330,201.22
  5. Step 5: Solve for x
    x = 7,855,330,201.22/78,472.70
  6. Step 6: Final answer
    x = 100,102.71

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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.