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Finding the Fourth Proportional to 257,684.72, 386,677.80 and 107,912.43

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Solution

The fourth proportional to 257,684.72, 386,677.80 and 107,912.43 is: 161,931.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,684.72 : 386,677.80 = 107,912.43 : x
  2. Step 2: Convert to fraction form
    257,684.72/386,677.80 = 107,912.43/x
  3. Step 3: Cross multiply
    257,684.72x = 386,677.80 × 107,912.43
  4. Step 4: Simplify right side
    257,684.72x = 41,727,341,025.05
  5. Step 5: Solve for x
    x = 41,727,341,025.05/257,684.72
  6. Step 6: Final answer
    x = 161,931.77

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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.