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Finding the Fourth Proportional to 110,387.80, 165,468.30 and 54,141.40

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Solution

The fourth proportional to 110,387.80, 165,468.30 and 54,141.40 is: 81,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,387.80 : 165,468.30 = 54,141.40 : x
  2. Step 2: Convert to fraction form
    110,387.80/165,468.30 = 54,141.40/x
  3. Step 3: Cross multiply
    110,387.80x = 165,468.30 × 54,141.40
  4. Step 4: Simplify right side
    110,387.80x = 8,958,685,417.62
  5. Step 5: Solve for x
    x = 8,958,685,417.62/110,387.80
  6. Step 6: Final answer
    x = 81,156.48

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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.