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Finding the Fourth Proportional to 257,915.27, 386,748.47 and 108,115.34

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Solution

The fourth proportional to 257,915.27, 386,748.47 and 108,115.34 is: 162,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,915.27 : 386,748.47 = 108,115.34 : x
  2. Step 2: Convert to fraction form
    257,915.27/386,748.47 = 108,115.34/x
  3. Step 3: Cross multiply
    257,915.27x = 386,748.47 × 108,115.34
  4. Step 4: Simplify right side
    257,915.27x = 41,813,440,665.08
  5. Step 5: Solve for x
    x = 41,813,440,665.08/257,915.27
  6. Step 6: Final answer
    x = 162,120.84

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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.