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Finding the Fourth Proportional to 257,425.56, 386,138.70 and 107,583.93

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Solution

The fourth proportional to 257,425.56, 386,138.70 and 107,583.93 is: 161,376.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,425.56 : 386,138.70 = 107,583.93 : x
  2. Step 2: Convert to fraction form
    257,425.56/386,138.70 = 107,583.93/x
  3. Step 3: Cross multiply
    257,425.56x = 386,138.70 × 107,583.93
  4. Step 4: Simplify right side
    257,425.56x = 41,542,318,871.09
  5. Step 5: Solve for x
    x = 41,542,318,871.09/257,425.56
  6. Step 6: Final answer
    x = 161,376.05

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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.