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Finding the Fourth Proportional to 257,165.76, 385,717.84 and 67,640.88

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Solution

The fourth proportional to 257,165.76, 385,717.84 and 67,640.88 is: 101,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,165.76 : 385,717.84 = 67,640.88 : x
  2. Step 2: Convert to fraction form
    257,165.76/385,717.84 = 67,640.88/x
  3. Step 3: Cross multiply
    257,165.76x = 385,717.84 × 67,640.88
  4. Step 4: Simplify right side
    257,165.76x = 26,090,294,129.30
  5. Step 5: Solve for x
    x = 26,090,294,129.30/257,165.76
  6. Step 6: Final answer
    x = 101,453.22

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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.