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Finding the Fourth Proportional to 121,410.60, 182,223.90 and 71,428.20

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Solution

The fourth proportional to 121,410.60, 182,223.90 and 71,428.20 is: 107,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,410.60 : 182,223.90 = 71,428.20 : x
  2. Step 2: Convert to fraction form
    121,410.60/182,223.90 = 71,428.20/x
  3. Step 3: Cross multiply
    121,410.60x = 182,223.90 × 71,428.20
  4. Step 4: Simplify right side
    121,410.60x = 13,015,925,173.98
  5. Step 5: Solve for x
    x = 13,015,925,173.98/121,410.60
  6. Step 6: Final answer
    x = 107,205.84

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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.