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Finding the Fourth Proportional to 130,759.76, 196,168.78 and 47,653.76

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Solution

The fourth proportional to 130,759.76, 196,168.78 and 47,653.76 is: 71,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,759.76 : 196,168.78 = 47,653.76 : x
  2. Step 2: Convert to fraction form
    130,759.76/196,168.78 = 47,653.76/x
  3. Step 3: Cross multiply
    130,759.76x = 196,168.78 × 47,653.76
  4. Step 4: Simplify right side
    130,759.76x = 9,348,179,961.61
  5. Step 5: Solve for x
    x = 9,348,179,961.61/130,759.76
  6. Step 6: Final answer
    x = 71,491.26

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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.