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Finding the Fourth Proportional to 257,809, 386,732.12 and 107,898.44

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Solution

The fourth proportional to 257,809, 386,732.12 and 107,898.44 is: 161,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,809 : 386,732.12 = 107,898.44 : x
  2. Step 2: Convert to fraction form
    257,809/386,732.12 = 107,898.44/x
  3. Step 3: Cross multiply
    257,809x = 386,732.12 × 107,898.44
  4. Step 4: Simplify right side
    257,809x = 41,727,792,445.89
  5. Step 5: Solve for x
    x = 41,727,792,445.89/257,809
  6. Step 6: Final answer
    x = 161,855.45

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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.