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Finding the Fourth Proportional to 120,214.40, 180,386.40 and 50,100.80

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Solution

The fourth proportional to 120,214.40, 180,386.40 and 50,100.80 is: 75,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,214.40 : 180,386.40 = 50,100.80 : x
  2. Step 2: Convert to fraction form
    120,214.40/180,386.40 = 50,100.80/x
  3. Step 3: Cross multiply
    120,214.40x = 180,386.40 × 50,100.80
  4. Step 4: Simplify right side
    120,214.40x = 9,037,502,949.12
  5. Step 5: Solve for x
    x = 9,037,502,949.12/120,214.40
  6. Step 6: Final answer
    x = 75,178.21

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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.