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Finding the Fourth Proportional to 218,714.90, 328,072.35 and 135,655.70

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Solution

The fourth proportional to 218,714.90, 328,072.35 and 135,655.70 is: 203,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.90 : 328,072.35 = 135,655.70 : x
  2. Step 2: Convert to fraction form
    218,714.90/328,072.35 = 135,655.70/x
  3. Step 3: Cross multiply
    218,714.90x = 328,072.35 × 135,655.70
  4. Step 4: Simplify right side
    218,714.90x = 44,504,884,289.90
  5. Step 5: Solve for x
    x = 44,504,884,289.90/218,714.90
  6. Step 6: Final answer
    x = 203,483.55

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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.