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Finding the Fourth Proportional to 80,468.90, 120,664.38 and 47,199.86

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Solution

The fourth proportional to 80,468.90, 120,664.38 and 47,199.86 is: 70,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,468.90 : 120,664.38 = 47,199.86 : x
  2. Step 2: Convert to fraction form
    80,468.90/120,664.38 = 47,199.86/x
  3. Step 3: Cross multiply
    80,468.90x = 120,664.38 × 47,199.86
  4. Step 4: Simplify right side
    80,468.90x = 5,695,341,842.99
  5. Step 5: Solve for x
    x = 5,695,341,842.99/80,468.90
  6. Step 6: Final answer
    x = 70,776.93

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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.