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Finding the Fourth Proportional to 80,070.08, 120,106.92 and 27,480

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Solution

The fourth proportional to 80,070.08, 120,106.92 and 27,480 is: 41,220.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,070.08 : 120,106.92 = 27,480 : x
  2. Step 2: Convert to fraction form
    80,070.08/120,106.92 = 27,480/x
  3. Step 3: Cross multiply
    80,070.08x = 120,106.92 × 27,480
  4. Step 4: Simplify right side
    80,070.08x = 3,300,538,161.60
  5. Step 5: Solve for x
    x = 3,300,538,161.60/80,070.08
  6. Step 6: Final answer
    x = 41,220.62

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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.