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Finding the Fourth Proportional to 43,156, 64,734 and 11,991.52

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Solution

The fourth proportional to 43,156, 64,734 and 11,991.52 is: 17,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,156 : 64,734 = 11,991.52 : x
  2. Step 2: Convert to fraction form
    43,156/64,734 = 11,991.52/x
  3. Step 3: Cross multiply
    43,156x = 64,734 × 11,991.52
  4. Step 4: Simplify right side
    43,156x = 776,259,055.68
  5. Step 5: Solve for x
    x = 776,259,055.68/43,156
  6. Step 6: Final answer
    x = 17,987.28

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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.