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Finding the Fourth Proportional to 109,973.70, 165,043.48 and 80,467.66

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Solution

The fourth proportional to 109,973.70, 165,043.48 and 80,467.66 is: 120,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,973.70 : 165,043.48 = 80,467.66 : x
  2. Step 2: Convert to fraction form
    109,973.70/165,043.48 = 80,467.66/x
  3. Step 3: Cross multiply
    109,973.70x = 165,043.48 × 80,467.66
  4. Step 4: Simplify right side
    109,973.70x = 13,280,662,633.86
  5. Step 5: Solve for x
    x = 13,280,662,633.86/109,973.70
  6. Step 6: Final answer
    x = 120,762.17

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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.