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Finding the Fourth Proportional to 257,481, 386,222.04 and 109,737

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Solution

The fourth proportional to 257,481, 386,222.04 and 109,737 is: 164,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,481 : 386,222.04 = 109,737 : x
  2. Step 2: Convert to fraction form
    257,481/386,222.04 = 109,737/x
  3. Step 3: Cross multiply
    257,481x = 386,222.04 × 109,737
  4. Step 4: Simplify right side
    257,481x = 42,382,848,003.48
  5. Step 5: Solve for x
    x = 42,382,848,003.48/257,481
  6. Step 6: Final answer
    x = 164,605.73

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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.