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Finding the Fourth Proportional to 136,963.56, 205,076.16 and 89,461.02

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Solution

The fourth proportional to 136,963.56, 205,076.16 and 89,461.02 is: 133,950.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,963.56 : 205,076.16 = 89,461.02 : x
  2. Step 2: Convert to fraction form
    136,963.56/205,076.16 = 89,461.02/x
  3. Step 3: Cross multiply
    136,963.56x = 205,076.16 × 89,461.02
  4. Step 4: Simplify right side
    136,963.56x = 18,346,322,451.28
  5. Step 5: Solve for x
    x = 18,346,322,451.28/136,963.56
  6. Step 6: Final answer
    x = 133,950.39

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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.