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Finding the Fourth Proportional to 80,415.04, 120,630.24 and 36,040

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Solution

The fourth proportional to 80,415.04, 120,630.24 and 36,040 is: 54,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,415.04 : 120,630.24 = 36,040 : x
  2. Step 2: Convert to fraction form
    80,415.04/120,630.24 = 36,040/x
  3. Step 3: Cross multiply
    80,415.04x = 120,630.24 × 36,040
  4. Step 4: Simplify right side
    80,415.04x = 4,347,513,849.60
  5. Step 5: Solve for x
    x = 4,347,513,849.60/80,415.04
  6. Step 6: Final answer
    x = 54,063.44

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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.