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Finding the Fourth Proportional to 192,787.60, 266,062.08 and 142,032.40

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Solution

The fourth proportional to 192,787.60, 266,062.08 and 142,032.40 is: 196,015.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,787.60 : 266,062.08 = 142,032.40 : x
  2. Step 2: Convert to fraction form
    192,787.60/266,062.08 = 142,032.40/x
  3. Step 3: Cross multiply
    192,787.60x = 266,062.08 × 142,032.40
  4. Step 4: Simplify right side
    192,787.60x = 37,789,435,771.39
  5. Step 5: Solve for x
    x = 37,789,435,771.39/192,787.60
  6. Step 6: Final answer
    x = 196,015.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.