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Finding the Fourth Proportional to 80,433, 120,649.50 and 31,185

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Solution

The fourth proportional to 80,433, 120,649.50 and 31,185 is: 46,777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433 : 120,649.50 = 31,185 : x
  2. Step 2: Convert to fraction form
    80,433/120,649.50 = 31,185/x
  3. Step 3: Cross multiply
    80,433x = 120,649.50 × 31,185
  4. Step 4: Simplify right side
    80,433x = 3,762,454,657.50
  5. Step 5: Solve for x
    x = 3,762,454,657.50/80,433
  6. Step 6: Final answer
    x = 46,777.50

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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.