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Finding the Fourth Proportional to 137,209.36, 189,342.48 and 76,787.68

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Solution

The fourth proportional to 137,209.36, 189,342.48 and 76,787.68 is: 105,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,209.36 : 189,342.48 = 76,787.68 : x
  2. Step 2: Convert to fraction form
    137,209.36/189,342.48 = 76,787.68/x
  3. Step 3: Cross multiply
    137,209.36x = 189,342.48 × 76,787.68
  4. Step 4: Simplify right side
    137,209.36x = 14,539,169,764.65
  5. Step 5: Solve for x
    x = 14,539,169,764.65/137,209.36
  6. Step 6: Final answer
    x = 105,963.40

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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.