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Finding the Fourth Proportional to 120,403, 180,201.54 and 118,809.88

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Solution

The fourth proportional to 120,403, 180,201.54 and 118,809.88 is: 177,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,403 : 180,201.54 = 118,809.88 : x
  2. Step 2: Convert to fraction form
    120,403/180,201.54 = 118,809.88/x
  3. Step 3: Cross multiply
    120,403x = 180,201.54 × 118,809.88
  4. Step 4: Simplify right side
    120,403x = 21,409,723,343.22
  5. Step 5: Solve for x
    x = 21,409,723,343.22/120,403
  6. Step 6: Final answer
    x = 177,817.19

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1.5x scale

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.