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Finding the Fourth Proportional to 135,644.60, 203,564.10 and 76,417.40

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Solution

The fourth proportional to 135,644.60, 203,564.10 and 76,417.40 is: 114,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.60 : 203,564.10 = 76,417.40 : x
  2. Step 2: Convert to fraction form
    135,644.60/203,564.10 = 76,417.40/x
  3. Step 3: Cross multiply
    135,644.60x = 203,564.10 × 76,417.40
  4. Step 4: Simplify right side
    135,644.60x = 15,555,839,255.34
  5. Step 5: Solve for x
    x = 15,555,839,255.34/135,644.60
  6. Step 6: Final answer
    x = 114,680.86

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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.