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Finding the Fourth Proportional to 100,109.80, 150,186.78 and 37,780.84

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Solution

The fourth proportional to 100,109.80, 150,186.78 and 37,780.84 is: 56,679.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,109.80 : 150,186.78 = 37,780.84 : x
  2. Step 2: Convert to fraction form
    100,109.80/150,186.78 = 37,780.84/x
  3. Step 3: Cross multiply
    100,109.80x = 150,186.78 × 37,780.84
  4. Step 4: Simplify right side
    100,109.80x = 5,674,182,705.30
  5. Step 5: Solve for x
    x = 5,674,182,705.30/100,109.80
  6. Step 6: Final answer
    x = 56,679.59

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1.5x scale

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.