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Finding the Fourth Proportional to 74,782.80, 112,174.20 and 68,221.80

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Solution

The fourth proportional to 74,782.80, 112,174.20 and 68,221.80 is: 102,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782.80 : 112,174.20 = 68,221.80 : x
  2. Step 2: Convert to fraction form
    74,782.80/112,174.20 = 68,221.80/x
  3. Step 3: Cross multiply
    74,782.80x = 112,174.20 × 68,221.80
  4. Step 4: Simplify right side
    74,782.80x = 7,652,725,837.56
  5. Step 5: Solve for x
    x = 7,652,725,837.56/74,782.80
  6. Step 6: Final answer
    x = 102,332.70

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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.