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Finding the Fourth Proportional to 132,943.60, 199,415.40 and 54,114.40

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Solution

The fourth proportional to 132,943.60, 199,415.40 and 54,114.40 is: 81,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,943.60 : 199,415.40 = 54,114.40 : x
  2. Step 2: Convert to fraction form
    132,943.60/199,415.40 = 54,114.40/x
  3. Step 3: Cross multiply
    132,943.60x = 199,415.40 × 54,114.40
  4. Step 4: Simplify right side
    132,943.60x = 10,791,244,721.76
  5. Step 5: Solve for x
    x = 10,791,244,721.76/132,943.60
  6. Step 6: Final answer
    x = 81,171.60

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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.