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Finding the Fourth Proportional to 128,135.66, 192,069.75 and 43,871

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Solution

The fourth proportional to 128,135.66, 192,069.75 and 43,871 is: 65,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,135.66 : 192,069.75 = 43,871 : x
  2. Step 2: Convert to fraction form
    128,135.66/192,069.75 = 43,871/x
  3. Step 3: Cross multiply
    128,135.66x = 192,069.75 × 43,871
  4. Step 4: Simplify right side
    128,135.66x = 8,426,292,002.25
  5. Step 5: Solve for x
    x = 8,426,292,002.25/128,135.66
  6. Step 6: Final answer
    x = 65,760.71

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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.