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Finding the Fourth Proportional to 188,898.40, 283,347.60 and 109,072.90

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Solution

The fourth proportional to 188,898.40, 283,347.60 and 109,072.90 is: 163,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,898.40 : 283,347.60 = 109,072.90 : x
  2. Step 2: Convert to fraction form
    188,898.40/283,347.60 = 109,072.90/x
  3. Step 3: Cross multiply
    188,898.40x = 283,347.60 × 109,072.90
  4. Step 4: Simplify right side
    188,898.40x = 30,905,544,440.04
  5. Step 5: Solve for x
    x = 30,905,544,440.04/188,898.40
  6. Step 6: Final answer
    x = 163,609.35

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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.