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Finding the Fourth Proportional to 130,113.20, 194,878.20 and 106,785.20

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Solution

The fourth proportional to 130,113.20, 194,878.20 and 106,785.20 is: 159,938.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,113.20 : 194,878.20 = 106,785.20 : x
  2. Step 2: Convert to fraction form
    130,113.20/194,878.20 = 106,785.20/x
  3. Step 3: Cross multiply
    130,113.20x = 194,878.20 × 106,785.20
  4. Step 4: Simplify right side
    130,113.20x = 20,810,107,562.64
  5. Step 5: Solve for x
    x = 20,810,107,562.64/130,113.20
  6. Step 6: Final answer
    x = 159,938.48

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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.