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Finding the Fourth Proportional to 120,662.40, 180,758.08 and 78,983.04

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Solution

The fourth proportional to 120,662.40, 180,758.08 and 78,983.04 is: 118,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,662.40 : 180,758.08 = 78,983.04 : x
  2. Step 2: Convert to fraction form
    120,662.40/180,758.08 = 78,983.04/x
  3. Step 3: Cross multiply
    120,662.40x = 180,758.08 × 78,983.04
  4. Step 4: Simplify right side
    120,662.40x = 14,276,822,662.96
  5. Step 5: Solve for x
    x = 14,276,822,662.96/120,662.40
  6. Step 6: Final answer
    x = 118,320.39

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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.