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Finding the Fourth Proportional to 130,687.56, 180,594 and 106,805.52

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Solution

The fourth proportional to 130,687.56, 180,594 and 106,805.52 is: 147,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,687.56 : 180,594 = 106,805.52 : x
  2. Step 2: Convert to fraction form
    130,687.56/180,594 = 106,805.52/x
  3. Step 3: Cross multiply
    130,687.56x = 180,594 × 106,805.52
  4. Step 4: Simplify right side
    130,687.56x = 19,288,436,078.88
  5. Step 5: Solve for x
    x = 19,288,436,078.88/130,687.56
  6. Step 6: Final answer
    x = 147,591.98

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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.