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Finding the Fourth Proportional to 120,806.60, 181,209.90 and 78,816.20

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Solution

The fourth proportional to 120,806.60, 181,209.90 and 78,816.20 is: 118,224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,806.60 : 181,209.90 = 78,816.20 : x
  2. Step 2: Convert to fraction form
    120,806.60/181,209.90 = 78,816.20/x
  3. Step 3: Cross multiply
    120,806.60x = 181,209.90 × 78,816.20
  4. Step 4: Simplify right side
    120,806.60x = 14,282,275,720.38
  5. Step 5: Solve for x
    x = 14,282,275,720.38/120,806.60
  6. Step 6: Final answer
    x = 118,224.30

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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.