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Finding the Fourth Proportional to 128,078, 192,118.08 and 44,972

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Solution

The fourth proportional to 128,078, 192,118.08 and 44,972 is: 67,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,078 : 192,118.08 = 44,972 : x
  2. Step 2: Convert to fraction form
    128,078/192,118.08 = 44,972/x
  3. Step 3: Cross multiply
    128,078x = 192,118.08 × 44,972
  4. Step 4: Simplify right side
    128,078x = 8,639,934,293.76
  5. Step 5: Solve for x
    x = 8,639,934,293.76/128,078
  6. Step 6: Final answer
    x = 67,458.38

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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.