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Finding the Fourth Proportional to 136,996.64, 205,389.16 and 86,972.64

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Solution

The fourth proportional to 136,996.64, 205,389.16 and 86,972.64 is: 130,391.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,996.64 : 205,389.16 = 86,972.64 : x
  2. Step 2: Convert to fraction form
    136,996.64/205,389.16 = 86,972.64/x
  3. Step 3: Cross multiply
    136,996.64x = 205,389.16 × 86,972.64
  4. Step 4: Simplify right side
    136,996.64x = 17,863,237,472.58
  5. Step 5: Solve for x
    x = 17,863,237,472.58/136,996.64
  6. Step 6: Final answer
    x = 130,391.79

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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.