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Finding the Fourth Proportional to 120,903.40, 181,355.10 and 83,578.60

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Solution

The fourth proportional to 120,903.40, 181,355.10 and 83,578.60 is: 125,367.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903.40 : 181,355.10 = 83,578.60 : x
  2. Step 2: Convert to fraction form
    120,903.40/181,355.10 = 83,578.60/x
  3. Step 3: Cross multiply
    120,903.40x = 181,355.10 × 83,578.60
  4. Step 4: Simplify right side
    120,903.40x = 15,157,405,360.86
  5. Step 5: Solve for x
    x = 15,157,405,360.86/120,903.40
  6. Step 6: Final answer
    x = 125,367.90

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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.