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Finding the Fourth Proportional to 133,539.60, 200,323.44 and 54,641.28

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Solution

The fourth proportional to 133,539.60, 200,323.44 and 54,641.28 is: 81,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,539.60 : 200,323.44 = 54,641.28 : x
  2. Step 2: Convert to fraction form
    133,539.60/200,323.44 = 54,641.28/x
  3. Step 3: Cross multiply
    133,539.60x = 200,323.44 × 54,641.28
  4. Step 4: Simplify right side
    133,539.60x = 10,945,929,175.60
  5. Step 5: Solve for x
    x = 10,945,929,175.60/133,539.60
  6. Step 6: Final answer
    x = 81,967.66

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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.