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Finding the Fourth Proportional to 120,614.76, 180,887.58 and 40,644

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Solution

The fourth proportional to 120,614.76, 180,887.58 and 40,644 is: 60,954.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.76 : 180,887.58 = 40,644 : x
  2. Step 2: Convert to fraction form
    120,614.76/180,887.58 = 40,644/x
  3. Step 3: Cross multiply
    120,614.76x = 180,887.58 × 40,644
  4. Step 4: Simplify right side
    120,614.76x = 7,351,994,801.52
  5. Step 5: Solve for x
    x = 7,351,994,801.52/120,614.76
  6. Step 6: Final answer
    x = 60,954.35

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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.