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Finding the Fourth Proportional to 130,013.73, 194,687.73 and 89,977.32

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Solution

The fourth proportional to 130,013.73, 194,687.73 and 89,977.32 is: 134,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,013.73 : 194,687.73 = 89,977.32 : x
  2. Step 2: Convert to fraction form
    130,013.73/194,687.73 = 89,977.32/x
  3. Step 3: Cross multiply
    130,013.73x = 194,687.73 × 89,977.32
  4. Step 4: Simplify right side
    130,013.73x = 17,517,480,182.28
  5. Step 5: Solve for x
    x = 17,517,480,182.28/130,013.73
  6. Step 6: Final answer
    x = 134,735.62

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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.