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Finding the Fourth Proportional to 257,906.36, 386,862.08 and 77,993.21

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Solution

The fourth proportional to 257,906.36, 386,862.08 and 77,993.21 is: 116,990.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,906.36 : 386,862.08 = 77,993.21 : x
  2. Step 2: Convert to fraction form
    257,906.36/386,862.08 = 77,993.21/x
  3. Step 3: Cross multiply
    257,906.36x = 386,862.08 × 77,993.21
  4. Step 4: Simplify right side
    257,906.36x = 30,172,616,023.67
  5. Step 5: Solve for x
    x = 30,172,616,023.67/257,906.36
  6. Step 6: Final answer
    x = 116,990.58

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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.