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Finding the Fourth Proportional to 243,057, 364,567.14 and 85,296

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Solution

The fourth proportional to 243,057, 364,567.14 and 85,296 is: 127,937.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,057 : 364,567.14 = 85,296 : x
  2. Step 2: Convert to fraction form
    243,057/364,567.14 = 85,296/x
  3. Step 3: Cross multiply
    243,057x = 364,567.14 × 85,296
  4. Step 4: Simplify right side
    243,057x = 31,096,118,773.44
  5. Step 5: Solve for x
    x = 31,096,118,773.44/243,057
  6. Step 6: Final answer
    x = 127,937.56

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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.