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Finding the Fourth Proportional to 136,969.62, 189,018.08 and 83,244.62

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Solution

The fourth proportional to 136,969.62, 189,018.08 and 83,244.62 is: 114,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,969.62 : 189,018.08 = 83,244.62 : x
  2. Step 2: Convert to fraction form
    136,969.62/189,018.08 = 83,244.62/x
  3. Step 3: Cross multiply
    136,969.62x = 189,018.08 × 83,244.62
  4. Step 4: Simplify right side
    136,969.62x = 15,734,738,242.73
  5. Step 5: Solve for x
    x = 15,734,738,242.73/136,969.62
  6. Step 6: Final answer
    x = 114,877.58

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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.