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Finding the Fourth Proportional to 137,409.60, 206,114.40 and 106,267.20

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Solution

The fourth proportional to 137,409.60, 206,114.40 and 106,267.20 is: 159,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,409.60 : 206,114.40 = 106,267.20 : x
  2. Step 2: Convert to fraction form
    137,409.60/206,114.40 = 106,267.20/x
  3. Step 3: Cross multiply
    137,409.60x = 206,114.40 × 106,267.20
  4. Step 4: Simplify right side
    137,409.60x = 21,903,200,167.68
  5. Step 5: Solve for x
    x = 21,903,200,167.68/137,409.60
  6. Step 6: Final answer
    x = 159,400.80

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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.