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Finding the Fourth Proportional to 68,139.60, 102,209.40 and 43,207.80

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Solution

The fourth proportional to 68,139.60, 102,209.40 and 43,207.80 is: 64,811.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,139.60 : 102,209.40 = 43,207.80 : x
  2. Step 2: Convert to fraction form
    68,139.60/102,209.40 = 43,207.80/x
  3. Step 3: Cross multiply
    68,139.60x = 102,209.40 × 43,207.80
  4. Step 4: Simplify right side
    68,139.60x = 4,416,243,313.32
  5. Step 5: Solve for x
    x = 4,416,243,313.32/68,139.60
  6. Step 6: Final answer
    x = 64,811.70

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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.