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Finding the Fourth Proportional to 243,056.52, 364,621.23 and 85,257.18

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Solution

The fourth proportional to 243,056.52, 364,621.23 and 85,257.18 is: 127,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,056.52 : 364,621.23 = 85,257.18 : x
  2. Step 2: Convert to fraction form
    243,056.52/364,621.23 = 85,257.18/x
  3. Step 3: Cross multiply
    243,056.52x = 364,621.23 × 85,257.18
  4. Step 4: Simplify right side
    243,056.52x = 31,086,577,837.93
  5. Step 5: Solve for x
    x = 31,086,577,837.93/243,056.52
  6. Step 6: Final answer
    x = 127,898.56

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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.