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Finding the Fourth Proportional to 243,238.41, 364,839.62 and 85,468.41

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Solution

The fourth proportional to 243,238.41, 364,839.62 and 85,468.41 is: 128,196.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,238.41 : 364,839.62 = 85,468.41 : x
  2. Step 2: Convert to fraction form
    243,238.41/364,839.62 = 85,468.41/x
  3. Step 3: Cross multiply
    243,238.41x = 364,839.62 × 85,468.41
  4. Step 4: Simplify right side
    243,238.41x = 31,182,261,799.06
  5. Step 5: Solve for x
    x = 31,182,261,799.06/243,238.41
  6. Step 6: Final answer
    x = 128,196.29

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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.