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Finding the Fourth Proportional to 257,922.15, 386,937.90 and 77,992.80

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Solution

The fourth proportional to 257,922.15, 386,937.90 and 77,992.80 is: 117,005.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,922.15 : 386,937.90 = 77,992.80 : x
  2. Step 2: Convert to fraction form
    257,922.15/386,937.90 = 77,992.80/x
  3. Step 3: Cross multiply
    257,922.15x = 386,937.90 × 77,992.80
  4. Step 4: Simplify right side
    257,922.15x = 30,178,370,247.12
  5. Step 5: Solve for x
    x = 30,178,370,247.12/257,922.15
  6. Step 6: Final answer
    x = 117,005.73

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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.