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Finding the Fourth Proportional to 257,906, 386,861.48 and 77,992.84

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Solution

The fourth proportional to 257,906, 386,861.48 and 77,992.84 is: 116,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906 : 386,861.48 = 77,992.84 : x
  2. Step 2: Convert to fraction form
    257,906/386,861.48 = 77,992.84/x
  3. Step 3: Cross multiply
    257,906x = 386,861.48 × 77,992.84
  4. Step 4: Simplify right side
    257,906x = 30,172,425,511.80
  5. Step 5: Solve for x
    x = 30,172,425,511.80/257,906
  6. Step 6: Final answer
    x = 116,990.01

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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.