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Finding the Fourth Proportional to 136,649.40, 188,575.69 and 76,220

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Solution

The fourth proportional to 136,649.40, 188,575.69 and 76,220 is: 105,183.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,649.40 : 188,575.69 = 76,220 : x
  2. Step 2: Convert to fraction form
    136,649.40/188,575.69 = 76,220/x
  3. Step 3: Cross multiply
    136,649.40x = 188,575.69 × 76,220
  4. Step 4: Simplify right side
    136,649.40x = 14,373,239,091.80
  5. Step 5: Solve for x
    x = 14,373,239,091.80/136,649.40
  6. Step 6: Final answer
    x = 105,183.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.