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Finding the Fourth Proportional to 149,492.20, 205,863.78 and 120,980.20

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Solution

The fourth proportional to 149,492.20, 205,863.78 and 120,980.20 is: 166,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,492.20 : 205,863.78 = 120,980.20 : x
  2. Step 2: Convert to fraction form
    149,492.20/205,863.78 = 120,980.20/x
  3. Step 3: Cross multiply
    149,492.20x = 205,863.78 × 120,980.20
  4. Step 4: Simplify right side
    149,492.20x = 24,905,441,277.16
  5. Step 5: Solve for x
    x = 24,905,441,277.16/149,492.20
  6. Step 6: Final answer
    x = 166,600.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.