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Finding the Fourth Proportional to 120,614.90, 180,948.27 and 50,458.10

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Solution

The fourth proportional to 120,614.90, 180,948.27 and 50,458.10 is: 75,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,614.90 : 180,948.27 = 50,458.10 : x
  2. Step 2: Convert to fraction form
    120,614.90/180,948.27 = 50,458.10/x
  3. Step 3: Cross multiply
    120,614.90x = 180,948.27 × 50,458.10
  4. Step 4: Simplify right side
    120,614.90x = 9,130,305,902.49
  5. Step 5: Solve for x
    x = 9,130,305,902.49/120,614.90
  6. Step 6: Final answer
    x = 75,697.99

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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.