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Finding the Fourth Proportional to 136,963.88, 189,010.14 and 83,238.86

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Solution

The fourth proportional to 136,963.88, 189,010.14 and 83,238.86 is: 114,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,963.88 : 189,010.14 = 83,238.86 : x
  2. Step 2: Convert to fraction form
    136,963.88/189,010.14 = 83,238.86/x
  3. Step 3: Cross multiply
    136,963.88x = 189,010.14 × 83,238.86
  4. Step 4: Simplify right side
    136,963.88x = 15,732,988,582.04
  5. Step 5: Solve for x
    x = 15,732,988,582.04/136,963.88
  6. Step 6: Final answer
    x = 114,869.62

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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.