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Finding the Fourth Proportional to 243,054.27, 364,617.86 and 85,254.93

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Solution

The fourth proportional to 243,054.27, 364,617.86 and 85,254.93 is: 127,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,054.27 : 364,617.86 = 85,254.93 : x
  2. Step 2: Convert to fraction form
    243,054.27/364,617.86 = 85,254.93/x
  3. Step 3: Cross multiply
    243,054.27x = 364,617.86 × 85,254.93
  4. Step 4: Simplify right side
    243,054.27x = 31,085,469,704.78
  5. Step 5: Solve for x
    x = 31,085,469,704.78/243,054.27
  6. Step 6: Final answer
    x = 127,895.18

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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.