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Finding the Fourth Proportional to 192,123.20, 287,817.60 and 103,347.20

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Solution

The fourth proportional to 192,123.20, 287,817.60 and 103,347.20 is: 154,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,123.20 : 287,817.60 = 103,347.20 : x
  2. Step 2: Convert to fraction form
    192,123.20/287,817.60 = 103,347.20/x
  3. Step 3: Cross multiply
    192,123.20x = 287,817.60 × 103,347.20
  4. Step 4: Simplify right side
    192,123.20x = 29,745,143,070.72
  5. Step 5: Solve for x
    x = 29,745,143,070.72/192,123.20
  6. Step 6: Final answer
    x = 154,823.28

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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.