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Finding the Fourth Proportional to 139,638.40, 209,457.60 and 108,145.60

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Solution

The fourth proportional to 139,638.40, 209,457.60 and 108,145.60 is: 162,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,638.40 : 209,457.60 = 108,145.60 : x
  2. Step 2: Convert to fraction form
    139,638.40/209,457.60 = 108,145.60/x
  3. Step 3: Cross multiply
    139,638.40x = 209,457.60 × 108,145.60
  4. Step 4: Simplify right side
    139,638.40x = 22,651,917,826.56
  5. Step 5: Solve for x
    x = 22,651,917,826.56/139,638.40
  6. Step 6: Final answer
    x = 162,218.40

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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.