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Finding the Fourth Proportional to 149,659.68, 224,057.64 and 139,149.84

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Solution

The fourth proportional to 149,659.68, 224,057.64 and 139,149.84 is: 208,323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,659.68 : 224,057.64 = 139,149.84 : x
  2. Step 2: Convert to fraction form
    149,659.68/224,057.64 = 139,149.84/x
  3. Step 3: Cross multiply
    149,659.68x = 224,057.64 × 139,149.84
  4. Step 4: Simplify right side
    149,659.68x = 31,177,584,756.78
  5. Step 5: Solve for x
    x = 31,177,584,756.78/149,659.68
  6. Step 6: Final answer
    x = 208,323.21

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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.