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Finding the Fourth Proportional to 128,534.20, 192,801.30 and 75,916.60

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Solution

The fourth proportional to 128,534.20, 192,801.30 and 75,916.60 is: 113,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,534.20 : 192,801.30 = 75,916.60 : x
  2. Step 2: Convert to fraction form
    128,534.20/192,801.30 = 75,916.60/x
  3. Step 3: Cross multiply
    128,534.20x = 192,801.30 × 75,916.60
  4. Step 4: Simplify right side
    128,534.20x = 14,636,819,171.58
  5. Step 5: Solve for x
    x = 14,636,819,171.58/128,534.20
  6. Step 6: Final answer
    x = 113,874.90

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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.