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Finding the Fourth Proportional to 135,656.34, 203,513.70 and 45,708

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Solution

The fourth proportional to 135,656.34, 203,513.70 and 45,708 is: 68,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,656.34 : 203,513.70 = 45,708 : x
  2. Step 2: Convert to fraction form
    135,656.34/203,513.70 = 45,708/x
  3. Step 3: Cross multiply
    135,656.34x = 203,513.70 × 45,708
  4. Step 4: Simplify right side
    135,656.34x = 9,302,204,199.60
  5. Step 5: Solve for x
    x = 9,302,204,199.60/135,656.34
  6. Step 6: Final answer
    x = 68,571.84

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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.