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Finding the Fourth Proportional to 100,110.80, 150,188.28 and 37,781.84

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Solution

The fourth proportional to 100,110.80, 150,188.28 and 37,781.84 is: 56,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,110.80 : 150,188.28 = 37,781.84 : x
  2. Step 2: Convert to fraction form
    100,110.80/150,188.28 = 37,781.84/x
  3. Step 3: Cross multiply
    100,110.80x = 150,188.28 × 37,781.84
  4. Step 4: Simplify right side
    100,110.80x = 5,674,389,564.84
  5. Step 5: Solve for x
    x = 5,674,389,564.84/100,110.80
  6. Step 6: Final answer
    x = 56,681.09

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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.