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Finding the Fourth Proportional to 120,362, 180,543 and 32,810

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Solution

The fourth proportional to 120,362, 180,543 and 32,810 is: 49,215

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362 : 180,543 = 32,810 : x
  2. Step 2: Convert to fraction form
    120,362/180,543 = 32,810/x
  3. Step 3: Cross multiply
    120,362x = 180,543 × 32,810
  4. Step 4: Simplify right side
    120,362x = 5,923,615,830
  5. Step 5: Solve for x
    x = 5,923,615,830/120,362
  6. Step 6: Final answer
    x = 49,215

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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.