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Finding the Fourth Proportional to 215,765.69, 323,757.88 and 145,497.38

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Solution

The fourth proportional to 215,765.69, 323,757.88 and 145,497.38 is: 218,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,765.69 : 323,757.88 = 145,497.38 : x
  2. Step 2: Convert to fraction form
    215,765.69/323,757.88 = 145,497.38/x
  3. Step 3: Cross multiply
    215,765.69x = 323,757.88 × 145,497.38
  4. Step 4: Simplify right side
    215,765.69x = 47,105,921,311.82
  5. Step 5: Solve for x
    x = 47,105,921,311.82/215,765.69
  6. Step 6: Final answer
    x = 218,319.80

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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.