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Finding the Fourth Proportional to 116,742.80, 175,243.80 and 72,419.60

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Solution

The fourth proportional to 116,742.80, 175,243.80 and 72,419.60 is: 108,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,742.80 : 175,243.80 = 72,419.60 : x
  2. Step 2: Convert to fraction form
    116,742.80/175,243.80 = 72,419.60/x
  3. Step 3: Cross multiply
    116,742.80x = 175,243.80 × 72,419.60
  4. Step 4: Simplify right side
    116,742.80x = 12,691,085,898.48
  5. Step 5: Solve for x
    x = 12,691,085,898.48/116,742.80
  6. Step 6: Final answer
    x = 108,709.80

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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.