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Finding the Fourth Proportional to 135,409.59, 203,133.29 and 56,505.74

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Solution

The fourth proportional to 135,409.59, 203,133.29 and 56,505.74 is: 84,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,409.59 : 203,133.29 = 56,505.74 : x
  2. Step 2: Convert to fraction form
    135,409.59/203,133.29 = 56,505.74/x
  3. Step 3: Cross multiply
    135,409.59x = 203,133.29 × 56,505.74
  4. Step 4: Simplify right side
    135,409.59x = 11,478,195,571.89
  5. Step 5: Solve for x
    x = 11,478,195,571.89/135,409.59
  6. Step 6: Final answer
    x = 84,766.49

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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.